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Finding the Fourth Proportional to 9,920.98, 13,691.12 and 5,445.15

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Solution

The fourth proportional to 9,920.98, 13,691.12 and 5,445.15 is: 7,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.98 : 13,691.12 = 5,445.15 : x
  2. Step 2: Convert to fraction form
    9,920.98/13,691.12 = 5,445.15/x
  3. Step 3: Cross multiply
    9,920.98x = 13,691.12 × 5,445.15
  4. Step 4: Simplify right side
    9,920.98x = 74,550,143.92
  5. Step 5: Solve for x
    x = 74,550,143.92/9,920.98
  6. Step 6: Final answer
    x = 7,514.39

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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.