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Finding the Fourth Proportional to 9,966.38, 13,753.53 and 5,987.39

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Solution

The fourth proportional to 9,966.38, 13,753.53 and 5,987.39 is: 8,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.38 : 13,753.53 = 5,987.39 : x
  2. Step 2: Convert to fraction form
    9,966.38/13,753.53 = 5,987.39/x
  3. Step 3: Cross multiply
    9,966.38x = 13,753.53 × 5,987.39
  4. Step 4: Simplify right side
    9,966.38x = 82,347,679.22
  5. Step 5: Solve for x
    x = 82,347,679.22/9,966.38
  6. Step 6: Final answer
    x = 8,262.55

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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.