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Finding the Fourth Proportional to 9,964.97, 13,751.38 and 5,427.55

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Solution

The fourth proportional to 9,964.97, 13,751.38 and 5,427.55 is: 7,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.97 : 13,751.38 = 5,427.55 : x
  2. Step 2: Convert to fraction form
    9,964.97/13,751.38 = 5,427.55/x
  3. Step 3: Cross multiply
    9,964.97x = 13,751.38 × 5,427.55
  4. Step 4: Simplify right side
    9,964.97x = 74,636,306.14
  5. Step 5: Solve for x
    x = 74,636,306.14/9,964.97
  6. Step 6: Final answer
    x = 7,489.87

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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.