A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric constant K = 4.  The thickness of the dielectric material is x, where x < d.

Let C₁ and C₂ be the capacitance of the system for $\mathrm{x}=\frac{1}{3}\mathrm{d}$ and $\mathrm{x}=\frac{2\mathrm{d}}{3}$ , respectively. If ${\mathrm{C}}_1=2\mathrm{\mu F}$, then the value of C₂ is ____$\mathrm{\mu F}$.