Assume that there is a bond that pays $\backslash (\backslash$$ $45\mathrm{.}00\backslash )$ at the and of year $2,$ and $\backslash (\backslash$$ $130\mathrm{.}00\backslash )$ at the end of year $6.$ It sells at a total $\backslash (=\backslash$$$(45\mathrm{.}00+130\mathrm{.}00)\backslash ).$ The Macauley duration of the bond is$?$ Answer with two digits decimal accuracy.