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Finding the Fourth Proportional to 8,428.57, 12,632.61 and 5,964.10

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Solution

The fourth proportional to 8,428.57, 12,632.61 and 5,964.10 is: 8,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.57 : 12,632.61 = 5,964.10 : x
  2. Step 2: Convert to fraction form
    8,428.57/12,632.61 = 5,964.10/x
  3. Step 3: Cross multiply
    8,428.57x = 12,632.61 × 5,964.10
  4. Step 4: Simplify right side
    8,428.57x = 75,342,149.30
  5. Step 5: Solve for x
    x = 75,342,149.30/8,428.57
  6. Step 6: Final answer
    x = 8,938.90

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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.