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Finding the Fourth Proportional to 6,408.42, 9,614.40 and 2,708.70

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Solution

The fourth proportional to 6,408.42, 9,614.40 and 2,708.70 is: 4,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.42 : 9,614.40 = 2,708.70 : x
  2. Step 2: Convert to fraction form
    6,408.42/9,614.40 = 2,708.70/x
  3. Step 3: Cross multiply
    6,408.42x = 9,614.40 × 2,708.70
  4. Step 4: Simplify right side
    6,408.42x = 26,042,525.28
  5. Step 5: Solve for x
    x = 26,042,525.28/6,408.42
  6. Step 6: Final answer
    x = 4,063.80

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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.