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Finding the Fourth Proportional to 9,744.38, 13,444.08 and 5,963.60

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Solution

The fourth proportional to 9,744.38, 13,444.08 and 5,963.60 is: 8,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.38 : 13,444.08 = 5,963.60 : x
  2. Step 2: Convert to fraction form
    9,744.38/13,444.08 = 5,963.60/x
  3. Step 3: Cross multiply
    9,744.38x = 13,444.08 × 5,963.60
  4. Step 4: Simplify right side
    9,744.38x = 80,175,115.49
  5. Step 5: Solve for x
    x = 80,175,115.49/9,744.38
  6. Step 6: Final answer
    x = 8,227.83

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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.