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Finding the Fourth Proportional to 8,141.69, 12,213.01 and 3,144.09

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Solution

The fourth proportional to 8,141.69, 12,213.01 and 3,144.09 is: 4,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.69 : 12,213.01 = 3,144.09 : x
  2. Step 2: Convert to fraction form
    8,141.69/12,213.01 = 3,144.09/x
  3. Step 3: Cross multiply
    8,141.69x = 12,213.01 × 3,144.09
  4. Step 4: Simplify right side
    8,141.69x = 38,398,802.61
  5. Step 5: Solve for x
    x = 38,398,802.61/8,141.69
  6. Step 6: Final answer
    x = 4,716.32

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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.