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Finding the Fourth Proportional to 6,439.98, 9,659.97 and 3,516.69

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Solution

The fourth proportional to 6,439.98, 9,659.97 and 3,516.69 is: 5,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.98 : 9,659.97 = 3,516.69 : x
  2. Step 2: Convert to fraction form
    6,439.98/9,659.97 = 3,516.69/x
  3. Step 3: Cross multiply
    6,439.98x = 9,659.97 × 3,516.69
  4. Step 4: Simplify right side
    6,439.98x = 33,971,119.90
  5. Step 5: Solve for x
    x = 33,971,119.90/6,439.98
  6. Step 6: Final answer
    x = 5,275.04

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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.