$${f_{\text{öd}} = f_{ne} \frac{v - v_{\text{ö}}}{v - v_n} \\ = (82,52\, \mathrm{kHz}) \frac{343\, \mathrm{m/s} - 8,00\, \mathrm{m/s}}{343\, \mathrm{m/s} - 9,00\, \mathrm{m/s}} \\ = 82,767\, \mathrm{kHz} \approx \underline{\underline{82,8\, \mathrm{kHz}}}}$$