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Finding the Fourth Proportional to 9,349.92, 14,039.52 and 9,282.24

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Solution

The fourth proportional to 9,349.92, 14,039.52 and 9,282.24 is: 13,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.92 : 14,039.52 = 9,282.24 : x
  2. Step 2: Convert to fraction form
    9,349.92/14,039.52 = 9,282.24/x
  3. Step 3: Cross multiply
    9,349.92x = 14,039.52 × 9,282.24
  4. Step 4: Simplify right side
    9,349.92x = 130,318,194.12
  5. Step 5: Solve for x
    x = 130,318,194.12/9,349.92
  6. Step 6: Final answer
    x = 13,937.89

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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.