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Finding the Fourth Proportional to 9,591.38, 13,237.32 and 5,400.44

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Solution

The fourth proportional to 9,591.38, 13,237.32 and 5,400.44 is: 7,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.38 : 13,237.32 = 5,400.44 : x
  2. Step 2: Convert to fraction form
    9,591.38/13,237.32 = 5,400.44/x
  3. Step 3: Cross multiply
    9,591.38x = 13,237.32 × 5,400.44
  4. Step 4: Simplify right side
    9,591.38x = 71,487,286.23
  5. Step 5: Solve for x
    x = 71,487,286.23/9,591.38
  6. Step 6: Final answer
    x = 7,453.29

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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.