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Finding the Fourth Proportional to 6,400.71, 9,601.05 and 2,502.38

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Solution

The fourth proportional to 6,400.71, 9,601.05 and 2,502.38 is: 3,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.71 : 9,601.05 = 2,502.38 : x
  2. Step 2: Convert to fraction form
    6,400.71/9,601.05 = 2,502.38/x
  3. Step 3: Cross multiply
    6,400.71x = 9,601.05 × 2,502.38
  4. Step 4: Simplify right side
    6,400.71x = 24,025,427.49
  5. Step 5: Solve for x
    x = 24,025,427.49/6,400.71
  6. Step 6: Final answer
    x = 3,753.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.