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Finding the Fourth Proportional to 6,212.72, 9,310.29 and 3,440.66

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Solution

The fourth proportional to 6,212.72, 9,310.29 and 3,440.66 is: 5,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.72 : 9,310.29 = 3,440.66 : x
  2. Step 2: Convert to fraction form
    6,212.72/9,310.29 = 3,440.66/x
  3. Step 3: Cross multiply
    6,212.72x = 9,310.29 × 3,440.66
  4. Step 4: Simplify right side
    6,212.72x = 32,033,542.39
  5. Step 5: Solve for x
    x = 32,033,542.39/6,212.72
  6. Step 6: Final answer
    x = 5,156.12

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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.