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Finding the Fourth Proportional to 9,839.66, 13,584.38 and 6,481.24

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Solution

The fourth proportional to 9,839.66, 13,584.38 and 6,481.24 is: 8,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.66 : 13,584.38 = 6,481.24 : x
  2. Step 2: Convert to fraction form
    9,839.66/13,584.38 = 6,481.24/x
  3. Step 3: Cross multiply
    9,839.66x = 13,584.38 × 6,481.24
  4. Step 4: Simplify right side
    9,839.66x = 88,043,560.66
  5. Step 5: Solve for x
    x = 88,043,560.66/9,839.66
  6. Step 6: Final answer
    x = 8,947.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.