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Finding the Fourth Proportional to 6,336.85, 9,491.42 and 3,211.49

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Solution

The fourth proportional to 6,336.85, 9,491.42 and 3,211.49 is: 4,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.85 : 9,491.42 = 3,211.49 : x
  2. Step 2: Convert to fraction form
    6,336.85/9,491.42 = 3,211.49/x
  3. Step 3: Cross multiply
    6,336.85x = 9,491.42 × 3,211.49
  4. Step 4: Simplify right side
    6,336.85x = 30,481,542.86
  5. Step 5: Solve for x
    x = 30,481,542.86/6,336.85
  6. Step 6: Final answer
    x = 4,810.21

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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.