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Finding the Fourth Proportional to 9,650.20, 14,479.80 and 3,414.96

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Solution

The fourth proportional to 9,650.20, 14,479.80 and 3,414.96 is: 5,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.20 : 14,479.80 = 3,414.96 : x
  2. Step 2: Convert to fraction form
    9,650.20/14,479.80 = 3,414.96/x
  3. Step 3: Cross multiply
    9,650.20x = 14,479.80 × 3,414.96
  4. Step 4: Simplify right side
    9,650.20x = 49,447,937.81
  5. Step 5: Solve for x
    x = 49,447,937.81/9,650.20
  6. Step 6: Final answer
    x = 5,124.03

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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.