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Finding the Fourth Proportional to 6,213.71, 8,574.73 and 3,381.14

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Solution

The fourth proportional to 6,213.71, 8,574.73 and 3,381.14 is: 4,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.71 : 8,574.73 = 3,381.14 : x
  2. Step 2: Convert to fraction form
    6,213.71/8,574.73 = 3,381.14/x
  3. Step 3: Cross multiply
    6,213.71x = 8,574.73 × 3,381.14
  4. Step 4: Simplify right side
    6,213.71x = 28,992,375.58
  5. Step 5: Solve for x
    x = 28,992,375.58/6,213.71
  6. Step 6: Final answer
    x = 4,665.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.