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Finding the Fourth Proportional to 8,115.78, 12,141.64 and 6,147.09

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Solution

The fourth proportional to 8,115.78, 12,141.64 and 6,147.09 is: 9,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.78 : 12,141.64 = 6,147.09 : x
  2. Step 2: Convert to fraction form
    8,115.78/12,141.64 = 6,147.09/x
  3. Step 3: Cross multiply
    8,115.78x = 12,141.64 × 6,147.09
  4. Step 4: Simplify right side
    8,115.78x = 74,635,693.12
  5. Step 5: Solve for x
    x = 74,635,693.12/8,115.78
  6. Step 6: Final answer
    x = 9,196.37

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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.