How much is a 2004 gold qouter worth?

Answer 1

QUARTER, just like it's spelled on the front of the coin, not "quoter"

And not gold either - it's plated. The mint never struck quarters in gold. For one thing that much gold would be worth a few hundred bucks so putting it in circulation for 25 cents would be economic suicide.

What you have is a privately-made novelty item. A lot of private companies took ordinary state quarters, layered them with a small amount of gold, and sold them at significant markups as "collectibles". While they look beautiful there's only a very small secondary market for them. Plus, the gold is only a few atoms thick and would cost more to remove than its metal value.