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Finding the Fourth Proportional to 9,608.28, 14,414.79 and 2,682.78

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Solution

The fourth proportional to 9,608.28, 14,414.79 and 2,682.78 is: 4,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.28 : 14,414.79 = 2,682.78 : x
  2. Step 2: Convert to fraction form
    9,608.28/14,414.79 = 2,682.78/x
  3. Step 3: Cross multiply
    9,608.28x = 14,414.79 × 2,682.78
  4. Step 4: Simplify right side
    9,608.28x = 38,671,710.32
  5. Step 5: Solve for x
    x = 38,671,710.32/9,608.28
  6. Step 6: Final answer
    x = 4,024.83

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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.