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Finding the Fourth Proportional to 9,691.26, 13,374.26 and 5,715.78

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Solution

The fourth proportional to 9,691.26, 13,374.26 and 5,715.78 is: 7,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.26 : 13,374.26 = 5,715.78 : x
  2. Step 2: Convert to fraction form
    9,691.26/13,374.26 = 5,715.78/x
  3. Step 3: Cross multiply
    9,691.26x = 13,374.26 × 5,715.78
  4. Step 4: Simplify right side
    9,691.26x = 76,444,327.82
  5. Step 5: Solve for x
    x = 76,444,327.82/9,691.26
  6. Step 6: Final answer
    x = 7,887.97

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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.