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Finding the Fourth Proportional to 9,961.78, 13,747.31 and 5,713

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Solution

The fourth proportional to 9,961.78, 13,747.31 and 5,713 is: 7,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.78 : 13,747.31 = 5,713 : x
  2. Step 2: Convert to fraction form
    9,961.78/13,747.31 = 5,713/x
  3. Step 3: Cross multiply
    9,961.78x = 13,747.31 × 5,713
  4. Step 4: Simplify right side
    9,961.78x = 78,538,382.03
  5. Step 5: Solve for x
    x = 78,538,382.03/9,961.78
  6. Step 6: Final answer
    x = 7,883.97

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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.