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Finding the Fourth Proportional to 9,701.30, 13,387.79 and 5,452.38

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Solution

The fourth proportional to 9,701.30, 13,387.79 and 5,452.38 is: 7,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.30 : 13,387.79 = 5,452.38 : x
  2. Step 2: Convert to fraction form
    9,701.30/13,387.79 = 5,452.38/x
  3. Step 3: Cross multiply
    9,701.30x = 13,387.79 × 5,452.38
  4. Step 4: Simplify right side
    9,701.30x = 72,995,318.44
  5. Step 5: Solve for x
    x = 72,995,318.44/9,701.30
  6. Step 6: Final answer
    x = 7,524.28

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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.