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Finding the Fourth Proportional to 9,502.49, 14,255.57 and 3,952.85

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Solution

The fourth proportional to 9,502.49, 14,255.57 and 3,952.85 is: 5,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.49 : 14,255.57 = 3,952.85 : x
  2. Step 2: Convert to fraction form
    9,502.49/14,255.57 = 3,952.85/x
  3. Step 3: Cross multiply
    9,502.49x = 14,255.57 × 3,952.85
  4. Step 4: Simplify right side
    9,502.49x = 56,350,129.87
  5. Step 5: Solve for x
    x = 56,350,129.87/9,502.49
  6. Step 6: Final answer
    x = 5,930.04

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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.