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Finding the Fourth Proportional to 7,091.14, 9,789.66 and 6,343.30

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Solution

The fourth proportional to 7,091.14, 9,789.66 and 6,343.30 is: 8,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.14 : 9,789.66 = 6,343.30 : x
  2. Step 2: Convert to fraction form
    7,091.14/9,789.66 = 6,343.30/x
  3. Step 3: Cross multiply
    7,091.14x = 9,789.66 × 6,343.30
  4. Step 4: Simplify right side
    7,091.14x = 62,098,750.28
  5. Step 5: Solve for x
    x = 62,098,750.28/7,091.14
  6. Step 6: Final answer
    x = 8,757.23

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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.