Firstly it's PG-9 (ПГ-9) with a hyphen and with the letters in upper case as it's an acronym. The PG acronym short for Protivotankovoy Granatoy (Противотанковой Гранатой), so literally antitank grenade (Ivan will have to check the Russian spelling).
Secondly there's no PG-9G (ПГ-9Г) rocket-boosted projectile. That was the designation of the warhead, well grenade (Granata - Граната), section for the original PG-9 projectile. Likewise its motor (Dvigatel - Двигатель) section was designated as the PG-9D (ПГ-9Д). It's similar to the PG-7G/PG-7D warhead/motor sections of the PG-7 projectile. These sub-desginations were dropped with the next versions of the projectiles (PG-7M/PG-9S).
Thirdly the practice projectiles have an 'I' after them, so PG-9I (ПГ-9И). The 'I' presumably short for inert (Инерт).
As to the lengths, if the US DIA 'DIA Reference Document - Projectile and Warhead Identification Guide - Foreign' document can be trusted, the lengths are (with the fuze in place, the fins undeployed, and the coupling plug in place): PG-9 = 787.4 mm; PG-9I = 787.4 mm; PG-9S (ПГ-9С) = 773.4 mm; PG-9S1 (ПГ-9С1) = 773.4 mm.
As to why the practice version's length seems to be way out, it may simply be wrong. That or it's a practice version of the PG-9S that has been measured without the coupling plug in place, though that should only subtract about 11 mm from the overall length.
From the few images I can find, the inert practice version of the PG-9S/S1 doesn't have an 'I' after the 'S'/'S1'.