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Finding the Fourth Proportional to 8,091.43, 12,126.08 and 6,115.46

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Solution

The fourth proportional to 8,091.43, 12,126.08 and 6,115.46 is: 9,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.43 : 12,126.08 = 6,115.46 : x
  2. Step 2: Convert to fraction form
    8,091.43/12,126.08 = 6,115.46/x
  3. Step 3: Cross multiply
    8,091.43x = 12,126.08 × 6,115.46
  4. Step 4: Simplify right side
    8,091.43x = 74,156,511.86
  5. Step 5: Solve for x
    x = 74,156,511.86/8,091.43
  6. Step 6: Final answer
    x = 9,164.82

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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.