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Finding the Fourth Proportional to 9,920.96, 13,691.04 and 6,197.12

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Solution

The fourth proportional to 9,920.96, 13,691.04 and 6,197.12 is: 8,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.96 : 13,691.04 = 6,197.12 : x
  2. Step 2: Convert to fraction form
    9,920.96/13,691.04 = 6,197.12/x
  3. Step 3: Cross multiply
    9,920.96x = 13,691.04 × 6,197.12
  4. Step 4: Simplify right side
    9,920.96x = 84,845,017.80
  5. Step 5: Solve for x
    x = 84,845,017.80/9,920.96
  6. Step 6: Final answer
    x = 8,552.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.