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Finding the Fourth Proportional to 9,642.38, 13,306.48 and 5,451.44

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Solution

The fourth proportional to 9,642.38, 13,306.48 and 5,451.44 is: 7,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.38 : 13,306.48 = 5,451.44 : x
  2. Step 2: Convert to fraction form
    9,642.38/13,306.48 = 5,451.44/x
  3. Step 3: Cross multiply
    9,642.38x = 13,306.48 × 5,451.44
  4. Step 4: Simplify right side
    9,642.38x = 72,539,397.17
  5. Step 5: Solve for x
    x = 72,539,397.17/9,642.38
  6. Step 6: Final answer
    x = 7,522.98

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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.