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Finding the Fourth Proportional to 6,213.40, 9,321.38 and 4,234.16

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Solution

The fourth proportional to 6,213.40, 9,321.38 and 4,234.16 is: 6,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.40 : 9,321.38 = 4,234.16 : x
  2. Step 2: Convert to fraction form
    6,213.40/9,321.38 = 4,234.16/x
  3. Step 3: Cross multiply
    6,213.40x = 9,321.38 × 4,234.16
  4. Step 4: Simplify right side
    6,213.40x = 39,468,214.34
  5. Step 5: Solve for x
    x = 39,468,214.34/6,213.40
  6. Step 6: Final answer
    x = 6,352.11

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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.