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Finding the Fourth Proportional to 9,843.52, 14,761.60 and 3,998.16

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Solution

The fourth proportional to 9,843.52, 14,761.60 and 3,998.16 is: 5,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.52 : 14,761.60 = 3,998.16 : x
  2. Step 2: Convert to fraction form
    9,843.52/14,761.60 = 3,998.16/x
  3. Step 3: Cross multiply
    9,843.52x = 14,761.60 × 3,998.16
  4. Step 4: Simplify right side
    9,843.52x = 59,019,238.66
  5. Step 5: Solve for x
    x = 59,019,238.66/9,843.52
  6. Step 6: Final answer
    x = 5,995.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.