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Finding the Fourth Proportional to 9,737.28, 14,601.24 and 5,052.56

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Solution

The fourth proportional to 9,737.28, 14,601.24 and 5,052.56 is: 7,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.28 : 14,601.24 = 5,052.56 : x
  2. Step 2: Convert to fraction form
    9,737.28/14,601.24 = 5,052.56/x
  3. Step 3: Cross multiply
    9,737.28x = 14,601.24 × 5,052.56
  4. Step 4: Simplify right side
    9,737.28x = 73,773,568.17
  5. Step 5: Solve for x
    x = 73,773,568.17/9,737.28
  6. Step 6: Final answer
    x = 7,576.40

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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.