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Finding the Fourth Proportional to 6,244.64, 9,359.10 and 5,462.78

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Solution

The fourth proportional to 6,244.64, 9,359.10 and 5,462.78 is: 8,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.64 : 9,359.10 = 5,462.78 : x
  2. Step 2: Convert to fraction form
    6,244.64/9,359.10 = 5,462.78/x
  3. Step 3: Cross multiply
    6,244.64x = 9,359.10 × 5,462.78
  4. Step 4: Simplify right side
    6,244.64x = 51,126,704.30
  5. Step 5: Solve for x
    x = 51,126,704.30/6,244.64
  6. Step 6: Final answer
    x = 8,187.29

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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.