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Finding the Fourth Proportional to 9,850.91, 13,593.70 and 5,601.38

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Solution

The fourth proportional to 9,850.91, 13,593.70 and 5,601.38 is: 7,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.91 : 13,593.70 = 5,601.38 : x
  2. Step 2: Convert to fraction form
    9,850.91/13,593.70 = 5,601.38/x
  3. Step 3: Cross multiply
    9,850.91x = 13,593.70 × 5,601.38
  4. Step 4: Simplify right side
    9,850.91x = 76,143,451.30
  5. Step 5: Solve for x
    x = 76,143,451.30/9,850.91
  6. Step 6: Final answer
    x = 7,729.59

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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.