That's not going to work.
The display connection technology is too old.
You’ d be better off looking for the older Apple 30 inch screen studio/cinema display that used the same mini display port technology of your 2009 iMac.
https://rover.ebay.com/rover/0/0/0?mpre=https%3A%2F%2Fwww.ebay.com%2Fulk%2Fitm%2 F292332242718