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Finding the Fourth Proportional to 8,196.31, 12,294.47 and 3,513.28

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Solution

The fourth proportional to 8,196.31, 12,294.47 and 3,513.28 is: 5,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.31 : 12,294.47 = 3,513.28 : x
  2. Step 2: Convert to fraction form
    8,196.31/12,294.47 = 3,513.28/x
  3. Step 3: Cross multiply
    8,196.31x = 12,294.47 × 3,513.28
  4. Step 4: Simplify right side
    8,196.31x = 43,193,915.56
  5. Step 5: Solve for x
    x = 43,193,915.56/8,196.31
  6. Step 6: Final answer
    x = 5,269.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.