Can graphics card from MB420LL/A 24" iMac (2009) be used in FD063LL/A

I have a FD063LL/A Late 2011 iMac 27" where the graphics card has died.

I also have a MB420LL-A 24" iMac (2009) with a dim screen and a good graphics card.

Are the systems similar enough that I could move the 24" machine's card to the 27" machine?

THANKS!