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Finding the Fourth Proportional to 9,761.92, 13,471.46 and 5,785

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Solution

The fourth proportional to 9,761.92, 13,471.46 and 5,785 is: 7,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.92 : 13,471.46 = 5,785 : x
  2. Step 2: Convert to fraction form
    9,761.92/13,471.46 = 5,785/x
  3. Step 3: Cross multiply
    9,761.92x = 13,471.46 × 5,785
  4. Step 4: Simplify right side
    9,761.92x = 77,932,396.10
  5. Step 5: Solve for x
    x = 77,932,396.10/9,761.92
  6. Step 6: Final answer
    x = 7,983.31

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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.