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Finding the Fourth Proportional to 9,197.16, 12,691.22 and 6,217.02

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Solution

The fourth proportional to 9,197.16, 12,691.22 and 6,217.02 is: 8,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.16 : 12,691.22 = 6,217.02 : x
  2. Step 2: Convert to fraction form
    9,197.16/12,691.22 = 6,217.02/x
  3. Step 3: Cross multiply
    9,197.16x = 12,691.22 × 6,217.02
  4. Step 4: Simplify right side
    9,197.16x = 78,901,537.48
  5. Step 5: Solve for x
    x = 78,901,537.48/9,197.16
  6. Step 6: Final answer
    x = 8,578.90

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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.