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Finding the Fourth Proportional to 6,401.67, 8,834.89 and 3,884.42

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Solution

The fourth proportional to 6,401.67, 8,834.89 and 3,884.42 is: 5,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.67 : 8,834.89 = 3,884.42 : x
  2. Step 2: Convert to fraction form
    6,401.67/8,834.89 = 3,884.42/x
  3. Step 3: Cross multiply
    6,401.67x = 8,834.89 × 3,884.42
  4. Step 4: Simplify right side
    6,401.67x = 34,318,423.41
  5. Step 5: Solve for x
    x = 34,318,423.41/6,401.67
  6. Step 6: Final answer
    x = 5,360.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.