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Finding the Fourth Proportional to 9,608.28, 14,414.12 and 4,414.68

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Solution

The fourth proportional to 9,608.28, 14,414.12 and 4,414.68 is: 6,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.28 : 14,414.12 = 4,414.68 : x
  2. Step 2: Convert to fraction form
    9,608.28/14,414.12 = 4,414.68/x
  3. Step 3: Cross multiply
    9,608.28x = 14,414.12 × 4,414.68
  4. Step 4: Simplify right side
    9,608.28x = 63,633,727.28
  5. Step 5: Solve for x
    x = 63,633,727.28/9,608.28
  6. Step 6: Final answer
    x = 6,622.80

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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.