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Finding the Fourth Proportional to 9,242.38, 13,859.88 and 5,349.52

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Solution

The fourth proportional to 9,242.38, 13,859.88 and 5,349.52 is: 8,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.38 : 13,859.88 = 5,349.52 : x
  2. Step 2: Convert to fraction form
    9,242.38/13,859.88 = 5,349.52/x
  3. Step 3: Cross multiply
    9,242.38x = 13,859.88 × 5,349.52
  4. Step 4: Simplify right side
    9,242.38x = 74,143,705.26
  5. Step 5: Solve for x
    x = 74,143,705.26/9,242.38
  6. Step 6: Final answer
    x = 8,022.14

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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.