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Finding the Fourth Proportional to 9,849.38, 13,591.89 and 5,373.24

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Solution

The fourth proportional to 9,849.38, 13,591.89 and 5,373.24 is: 7,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.38 : 13,591.89 = 5,373.24 : x
  2. Step 2: Convert to fraction form
    9,849.38/13,591.89 = 5,373.24/x
  3. Step 3: Cross multiply
    9,849.38x = 13,591.89 × 5,373.24
  4. Step 4: Simplify right side
    9,849.38x = 73,032,487.02
  5. Step 5: Solve for x
    x = 73,032,487.02/9,849.38
  6. Step 6: Final answer
    x = 7,414.93

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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.