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Finding the Fourth Proportional to 9,197.12, 12,691.82 and 5,218

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Solution

The fourth proportional to 9,197.12, 12,691.82 and 5,218 is: 7,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.12 : 12,691.82 = 5,218 : x
  2. Step 2: Convert to fraction form
    9,197.12/12,691.82 = 5,218/x
  3. Step 3: Cross multiply
    9,197.12x = 12,691.82 × 5,218
  4. Step 4: Simplify right side
    9,197.12x = 66,225,916.76
  5. Step 5: Solve for x
    x = 66,225,916.76/9,197.12
  6. Step 6: Final answer
    x = 7,200.72

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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.