An unofficial web poll conducted by Salt Lake City's Fox 13 News found nearly three quarters of respondents support a ruling knocking down the state's ban on gay marriage.

Gay couples raced to county clerk offices on Friday after U.S. District Judge Robert J. Shelby handed down his decision.

In his 52-page ruling, Shelby declared Amendment 3, the state's 2004 voter-approved constitutional amendment which limits marriage to heterosexual unions, in violation of the 14th Amendment of the U.S. Constitution.

State officials announced that they would appeal and filed four requests for a stay in the ruling, three of which have been rejected. The 10th Circuit Court of Appeals in Denver is currently reviewing the state's latest request for a stay.

(Related: Hundreds of gay couples marry in Utah; 6 counties refuse to abide marriage ruling.)

When Fox 13 News asked online readers, “Do you agree with the ruling overturning Utah's ban on same-sex marriage?” 20,433 out of 27,572 respondents, 74 percent, answered: “Yes, same-sex marriages should be allowed in Utah.”