Moment of Inertia & Radius of Gyration question from JEE Main 2025 (7 Apr, Shift 2)

Let M and R be the mass and radius of a disc. A small disc of radius $R/3$ is removed from the bigger disc as shown in figure. The moment of inertia of remaining part of bigger disc about an axis $AB$ passing through the centre $O$ and perpendicular to the plane of disc is $\frac{4}{x}MR^2$. The value of $x$ is ____________.