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Finding the Fourth Proportional to 9,197.72, 13,725.90 and 8,213.52

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Solution

The fourth proportional to 9,197.72, 13,725.90 and 8,213.52 is: 12,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.72 : 13,725.90 = 8,213.52 : x
  2. Step 2: Convert to fraction form
    9,197.72/13,725.90 = 8,213.52/x
  3. Step 3: Cross multiply
    9,197.72x = 13,725.90 × 8,213.52
  4. Step 4: Simplify right side
    9,197.72x = 112,737,954.17
  5. Step 5: Solve for x
    x = 112,737,954.17/9,197.72
  6. Step 6: Final answer
    x = 12,257.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.