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Finding the Fourth Proportional to 9,099.27, 12,560.31 and 5,744.28

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Solution

The fourth proportional to 9,099.27, 12,560.31 and 5,744.28 is: 7,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.27 : 12,560.31 = 5,744.28 : x
  2. Step 2: Convert to fraction form
    9,099.27/12,560.31 = 5,744.28/x
  3. Step 3: Cross multiply
    9,099.27x = 12,560.31 × 5,744.28
  4. Step 4: Simplify right side
    9,099.27x = 72,149,937.53
  5. Step 5: Solve for x
    x = 72,149,937.53/9,099.27
  6. Step 6: Final answer
    x = 7,929.20

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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.