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Finding the Fourth Proportional to 6,876.56, 9,489.48 and 3,892.34

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Solution

The fourth proportional to 6,876.56, 9,489.48 and 3,892.34 is: 5,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.56 : 9,489.48 = 3,892.34 : x
  2. Step 2: Convert to fraction form
    6,876.56/9,489.48 = 3,892.34/x
  3. Step 3: Cross multiply
    6,876.56x = 9,489.48 × 3,892.34
  4. Step 4: Simplify right side
    6,876.56x = 36,936,282.58
  5. Step 5: Solve for x
    x = 36,936,282.58/6,876.56
  6. Step 6: Final answer
    x = 5,371.33

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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.