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Finding the Fourth Proportional to 9,902.17, 14,851.67 and 3,238.61

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Solution

The fourth proportional to 9,902.17, 14,851.67 and 3,238.61 is: 4,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.17 : 14,851.67 = 3,238.61 : x
  2. Step 2: Convert to fraction form
    9,902.17/14,851.67 = 3,238.61/x
  3. Step 3: Cross multiply
    9,902.17x = 14,851.67 × 3,238.61
  4. Step 4: Simplify right side
    9,902.17x = 48,098,787.91
  5. Step 5: Solve for x
    x = 48,098,787.91/9,902.17
  6. Step 6: Final answer
    x = 4,857.40

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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.