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Finding the Fourth Proportional to 9,432.92, 13,017.42 and 5,241.14

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Solution

The fourth proportional to 9,432.92, 13,017.42 and 5,241.14 is: 7,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.92 : 13,017.42 = 5,241.14 : x
  2. Step 2: Convert to fraction form
    9,432.92/13,017.42 = 5,241.14/x
  3. Step 3: Cross multiply
    9,432.92x = 13,017.42 × 5,241.14
  4. Step 4: Simplify right side
    9,432.92x = 68,226,120.66
  5. Step 5: Solve for x
    x = 68,226,120.66/9,432.92
  6. Step 6: Final answer
    x = 7,232.77

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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.