Here is the latest version (10.0.0) for the Kindle FireHD 8.9.
Clicking on the graphic will take you to a download site in the cloud.
This browser works on the Kindle Fire HD 8.9. It has not been tested on any other type of Kindle. It has been tested only on my Kindle. It was scanned for problems with Dr. Web. Flash (I have 11.1.115) from Adobe works with this browser and can be found here, https://www.dropbox.com/s/sweyshq10buzjc0/flash_player_ics.apk