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Finding the Fourth Proportional to 7,944.84, 10,970.16 and 6,450.39

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Solution

The fourth proportional to 7,944.84, 10,970.16 and 6,450.39 is: 8,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.84 : 10,970.16 = 6,450.39 : x
  2. Step 2: Convert to fraction form
    7,944.84/10,970.16 = 6,450.39/x
  3. Step 3: Cross multiply
    7,944.84x = 10,970.16 × 6,450.39
  4. Step 4: Simplify right side
    7,944.84x = 70,761,810.36
  5. Step 5: Solve for x
    x = 70,761,810.36/7,944.84
  6. Step 6: Final answer
    x = 8,906.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.