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Finding the Fourth Proportional to 9,681.42, 13,342.17 and 6,691.92

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Solution

The fourth proportional to 9,681.42, 13,342.17 and 6,691.92 is: 9,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.42 : 13,342.17 = 6,691.92 : x
  2. Step 2: Convert to fraction form
    9,681.42/13,342.17 = 6,691.92/x
  3. Step 3: Cross multiply
    9,681.42x = 13,342.17 × 6,691.92
  4. Step 4: Simplify right side
    9,681.42x = 89,284,734.27
  5. Step 5: Solve for x
    x = 89,284,734.27/9,681.42
  6. Step 6: Final answer
    x = 9,222.28

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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.