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Finding the Fourth Proportional to 9,761.64, 13,471.01 and 5,285.30

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Solution

The fourth proportional to 9,761.64, 13,471.01 and 5,285.30 is: 7,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.64 : 13,471.01 = 5,285.30 : x
  2. Step 2: Convert to fraction form
    9,761.64/13,471.01 = 5,285.30/x
  3. Step 3: Cross multiply
    9,761.64x = 13,471.01 × 5,285.30
  4. Step 4: Simplify right side
    9,761.64x = 71,198,330.97
  5. Step 5: Solve for x
    x = 71,198,330.97/9,761.64
  6. Step 6: Final answer
    x = 7,293.68

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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.