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Finding the Fourth Proportional to 9,196.62, 12,691.68 and 5,218.50

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Solution

The fourth proportional to 9,196.62, 12,691.68 and 5,218.50 is: 7,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.62 : 12,691.68 = 5,218.50 : x
  2. Step 2: Convert to fraction form
    9,196.62/12,691.68 = 5,218.50/x
  3. Step 3: Cross multiply
    9,196.62x = 12,691.68 × 5,218.50
  4. Step 4: Simplify right side
    9,196.62x = 66,231,532.08
  5. Step 5: Solve for x
    x = 66,231,532.08/9,196.62
  6. Step 6: Final answer
    x = 7,201.73

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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.