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Finding the Fourth Proportional to 6,408.98, 9,614.04 and 1,729.70

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Solution

The fourth proportional to 6,408.98, 9,614.04 and 1,729.70 is: 2,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.98 : 9,614.04 = 1,729.70 : x
  2. Step 2: Convert to fraction form
    6,408.98/9,614.04 = 1,729.70/x
  3. Step 3: Cross multiply
    6,408.98x = 9,614.04 × 1,729.70
  4. Step 4: Simplify right side
    6,408.98x = 16,629,404.99
  5. Step 5: Solve for x
    x = 16,629,404.99/6,408.98
  6. Step 6: Final answer
    x = 2,594.70

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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.