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Finding the Fourth Proportional to 25,158.28, 37,737.02 and 6,438.16

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Solution

The fourth proportional to 25,158.28, 37,737.02 and 6,438.16 is: 9,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,158.28 : 37,737.02 = 6,438.16 : x
  2. Step 2: Convert to fraction form
    25,158.28/37,737.02 = 6,438.16/x
  3. Step 3: Cross multiply
    25,158.28x = 37,737.02 × 6,438.16
  4. Step 4: Simplify right side
    25,158.28x = 242,956,972.68
  5. Step 5: Solve for x
    x = 242,956,972.68/25,158.28
  6. Step 6: Final answer
    x = 9,657.14

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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.