Inversions higher than third

Regarding these extensions, the writer Marcus Miller notes that: If you're working with extended chords, there are more than two possible inversions.

In the fourth inversion of a G-dominant ninth, the bass is A — the ninth of the chord — with the third, fifth, seventh, and root stacked above it, forming the intervals of a second, a fourth, a sixth, and a seventh above the inverted bass of A, respectively.

The chord of the ninth, having four intervals like the flat seventh, of course admits of four inversions in both major and minor...

The pupil will easily find examples in the literature [such as Schoenberg's Verklärte Nacht and Strauss's opera Salome].

For example, a fourth inversion must have the ninth chord factor in the bass, but it may have any arrangement of the root, third, fifth, and seventh above that, including doubled notes, compound intervals, and omission of the fifth (A-G-B-D-F, A-B-D-F-G-B′, A-G-D-F, etc.)