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Finding the Fourth Proportional to 9,099.27, 13,652.15 and 3,902.31

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Solution

The fourth proportional to 9,099.27, 13,652.15 and 3,902.31 is: 5,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.27 : 13,652.15 = 3,902.31 : x
  2. Step 2: Convert to fraction form
    9,099.27/13,652.15 = 3,902.31/x
  3. Step 3: Cross multiply
    9,099.27x = 13,652.15 × 3,902.31
  4. Step 4: Simplify right side
    9,099.27x = 53,274,901.95
  5. Step 5: Solve for x
    x = 53,274,901.95/9,099.27
  6. Step 6: Final answer
    x = 5,854.85

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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.