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Finding the Fourth Proportional to 9,902.17, 14,856.56 and 3,238.97

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Solution

The fourth proportional to 9,902.17, 14,856.56 and 3,238.97 is: 4,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.17 : 14,856.56 = 3,238.97 : x
  2. Step 2: Convert to fraction form
    9,902.17/14,856.56 = 3,238.97/x
  3. Step 3: Cross multiply
    9,902.17x = 14,856.56 × 3,238.97
  4. Step 4: Simplify right side
    9,902.17x = 48,119,997.38
  5. Step 5: Solve for x
    x = 48,119,997.38/9,902.17
  6. Step 6: Final answer
    x = 4,859.54

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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.