  The general theory of relativity (GR) has excelled in explaining
gravitational phenomena at the scale of the solar system with remarkable
precision. However, when extended to the galactic or cosmological scale, it
requires dark matter and dark energy to explain observations. In our previous
article arXiv:2308.04503, we've formulated a gravity theory based in Mach's
principle, known as Machian gravity. We demonstrated that the theory
successfully explains galactic velocity profiles without requiring additional
dark matter components. In previous studies, for a selected set of galaxy
clusters, we also showed its ability to explain the velocity dispersion in the
clusters without extra unseen matter components. This paper primarily explores
the mass profiles of galaxy clusters. We test the Machian Gravity acceleration
law on two distinct sets comprising approximately 150 galaxy clusters sourced
from various studies. We fitted the dynamic mass profiles using the Machian
gravity model. The outcomes of our study show exceptional agreement between the
theory and observational results.
