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Finding the Fourth Proportional to 9,688.82, 13,375.31 and 6,500.97

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Solution

The fourth proportional to 9,688.82, 13,375.31 and 6,500.97 is: 8,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.82 : 13,375.31 = 6,500.97 : x
  2. Step 2: Convert to fraction form
    9,688.82/13,375.31 = 6,500.97/x
  3. Step 3: Cross multiply
    9,688.82x = 13,375.31 × 6,500.97
  4. Step 4: Simplify right side
    9,688.82x = 86,952,456.55
  5. Step 5: Solve for x
    x = 86,952,456.55/9,688.82
  6. Step 6: Final answer
    x = 8,974.52

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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.