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Finding the Fourth Proportional to 6,408.85, 9,614.16 and 2,024.80

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Solution

The fourth proportional to 6,408.85, 9,614.16 and 2,024.80 is: 3,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.85 : 9,614.16 = 2,024.80 : x
  2. Step 2: Convert to fraction form
    6,408.85/9,614.16 = 2,024.80/x
  3. Step 3: Cross multiply
    6,408.85x = 9,614.16 × 2,024.80
  4. Step 4: Simplify right side
    6,408.85x = 19,466,751.17
  5. Step 5: Solve for x
    x = 19,466,751.17/6,408.85
  6. Step 6: Final answer
    x = 3,037.48

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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.