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Finding the Fourth Proportional to 6,439.97, 9,656.23 and 3,434.30

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Solution

The fourth proportional to 6,439.97, 9,656.23 and 3,434.30 is: 5,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.97 : 9,656.23 = 3,434.30 : x
  2. Step 2: Convert to fraction form
    6,439.97/9,656.23 = 3,434.30/x
  3. Step 3: Cross multiply
    6,439.97x = 9,656.23 × 3,434.30
  4. Step 4: Simplify right side
    6,439.97x = 33,162,390.69
  5. Step 5: Solve for x
    x = 33,162,390.69/6,439.97
  6. Step 6: Final answer
    x = 5,149.46

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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.