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The multifragment decays of Mg projectiles after collisions with various emulsion targets at a bombarding energy of 4.5 AGeV has been studied. The bound charge Z(b), which is the sum of all the projectile fragments with charge Z(PF) ≥ 2, is considered to be one of the important observable in the study of projectile multifragmentation. Correlation between mean number of intermediate mass fragments N(IMF) and Z(b) is one of the most interesting aspects of studying projectile multifragmentation. In this report an attempt has been made to study the variation of N(IMF) on the mass of the fragmenting system Z(b) for Mg-Em interaction at 4.5 AGeV. A rise and fall pattern in N(IMF) vs Z(b) plot with the maximum value of N(IMF) corresponding to the value of Z(b) = 6-7 is observed for the Mg-Em system. The value of bound charge corresponding to the maximum value of average number of intermediate mass fragments is found to be consistent with the results reported by ALADIN group[1-5]. The variation of N(IMF) on Z(b) normalized with the projectile charge Z(p) indicates a clear size effect for the studied systems.