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Finding the Fourth Proportional to 6,462.72, 9,694.08 and 5,158.08

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Solution

The fourth proportional to 6,462.72, 9,694.08 and 5,158.08 is: 7,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.72 : 9,694.08 = 5,158.08 : x
  2. Step 2: Convert to fraction form
    6,462.72/9,694.08 = 5,158.08/x
  3. Step 3: Cross multiply
    6,462.72x = 9,694.08 × 5,158.08
  4. Step 4: Simplify right side
    6,462.72x = 50,002,840.17
  5. Step 5: Solve for x
    x = 50,002,840.17/6,462.72
  6. Step 6: Final answer
    x = 7,737.12

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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.