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Finding the Fourth Proportional to 9,972.16, 14,917.12 and 8,197.16

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Solution

The fourth proportional to 9,972.16, 14,917.12 and 8,197.16 is: 12,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.16 : 14,917.12 = 8,197.16 : x
  2. Step 2: Convert to fraction form
    9,972.16/14,917.12 = 8,197.16/x
  3. Step 3: Cross multiply
    9,972.16x = 14,917.12 × 8,197.16
  4. Step 4: Simplify right side
    9,972.16x = 122,278,019.38
  5. Step 5: Solve for x
    x = 122,278,019.38/9,972.16
  6. Step 6: Final answer
    x = 12,261.94

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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.