It was manufactured in 1909, the date should be on the top of the barrel just short of the front sight if the barrel hasn't been changed. I will include a list of serial numbers for the two major manufacturers.
SPRINGFIELD ARMORY PRODUCTION OF MODEL 1903 [Dated by calendar year: January - December]
1903‑1‑16000
1904‑16001‑67000
1905‑67001‑119000
1906‑119001‑269450
1907‑269451‑337861
1908‑337862‑358084
1909‑358085‑398275
1910‑398276‑456375
1911‑456376‑502045
1912‑502046‑531520
1913‑531521‑570560
1914‑570561‑595600
1915‑595601‑620120
1916‑620121‑632825
1917‑632826‑761757
1918‑761758‑1055091
1919‑1055092‑1162500
1920‑1162501‑1211299
1921‑1211300‑1239640
1922‑1239641‑1252386
1923‑1252387‑1261486
1924‑1261487‑1267100
1925‑1267101‑1270300
1926‑1270301‑1274764
1927‑1274765‑1285265
1928‑1285266‑1305900
1929‑1305901‑1338405
1930‑1338406‑1369760
1931‑1369761‑1404025
1932‑1404026‑1425933
1933‑1425934‑1441811
1934‑1441812‑1491531
1935‑1491532‑1496022
1936‑PRODUCTION TEMPORARILY SUSPENDED
1937‑1496023‑1510387
1938‑1939‑1510388‑1532878
Total: 1340000.
Introduction of improved heat treatment at SN800000
Introduction of nickel steel at SN1275767.
¨RIA PRODUCTION OF MODEL 1903
1903‑1‑7500
1904‑7501‑16000
1905‑16001‑28000
1906‑28001‑75000
1907‑75001‑130000
1908‑130001‑165000
1909‑165001‑178000
1910‑178001‑201000
1911‑201001‑210634
1912‑210635‑217801
1913‑217802‑234830
1914‑PRODUCTION TEMPORARILY SUSPENDED
1915‑PRODUCTION TEMPORARILY SUSPENDED
1916‑PRODUCTION TEMPORARILY SUSPENDED
1917‑234831‑257061
1918‑257062‑326935
1919‑326936‑348414
TOTAL: 346000
Introduction of improved heat treatment at SN285507.
Introduction of nickel steel at SN319921.
about 1918
about 1905
about 1918
about 1929
1944
made 1918
about 1910
it would appear there are too many numbers in your serial number.....................
about 1921
1938-1939
Your rifle was made at springfield arsenal in 1932.
made 1909