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Finding the Fourth Proportional to 9,702.38, 13,387.88 and 5,452.72

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Solution

The fourth proportional to 9,702.38, 13,387.88 and 5,452.72 is: 7,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.38 : 13,387.88 = 5,452.72 : x
  2. Step 2: Convert to fraction form
    9,702.38/13,387.88 = 5,452.72/x
  3. Step 3: Cross multiply
    9,702.38x = 13,387.88 × 5,452.72
  4. Step 4: Simplify right side
    9,702.38x = 73,000,341.20
  5. Step 5: Solve for x
    x = 73,000,341.20/9,702.38
  6. Step 6: Final answer
    x = 7,523.96

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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.