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Finding the Fourth Proportional to 9,239.56, 13,837.02 and 6,469

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Solution

The fourth proportional to 9,239.56, 13,837.02 and 6,469 is: 9,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.56 : 13,837.02 = 6,469 : x
  2. Step 2: Convert to fraction form
    9,239.56/13,837.02 = 6,469/x
  3. Step 3: Cross multiply
    9,239.56x = 13,837.02 × 6,469
  4. Step 4: Simplify right side
    9,239.56x = 89,511,682.38
  5. Step 5: Solve for x
    x = 89,511,682.38/9,239.56
  6. Step 6: Final answer
    x = 9,687.87

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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.