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Finding the Fourth Proportional to 9,244.32, 12,757.68 and 6,098.28

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Solution

The fourth proportional to 9,244.32, 12,757.68 and 6,098.28 is: 8,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.32 : 12,757.68 = 6,098.28 : x
  2. Step 2: Convert to fraction form
    9,244.32/12,757.68 = 6,098.28/x
  3. Step 3: Cross multiply
    9,244.32x = 12,757.68 × 6,098.28
  4. Step 4: Simplify right side
    9,244.32x = 77,799,904.79
  5. Step 5: Solve for x
    x = 77,799,904.79/9,244.32
  6. Step 6: Final answer
    x = 8,415.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.