in most cases pgAdmin 3 is too old therefore pgAdmin 4 is the most use tool for postgres. it's confusing if you write pgAdmin 4 and then the version number.
it should be able to understand what pgAdmin 9.7 means. it means pgAdmin 4 in the version 9.7. I suggest you to change the name of pgAdmin 4 at least in version 10.
so instead of pgAdmin 4 v10 simply write pgAdmin 10.