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Finding the Fourth Proportional to 6,213.90, 9,314.09 and 3,096.21

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Solution

The fourth proportional to 6,213.90, 9,314.09 and 3,096.21 is: 4,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.90 : 9,314.09 = 3,096.21 : x
  2. Step 2: Convert to fraction form
    6,213.90/9,314.09 = 3,096.21/x
  3. Step 3: Cross multiply
    6,213.90x = 9,314.09 × 3,096.21
  4. Step 4: Simplify right side
    6,213.90x = 28,838,357.26
  5. Step 5: Solve for x
    x = 28,838,357.26/6,213.90
  6. Step 6: Final answer
    x = 4,640.94

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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.