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Finding the Fourth Proportional to 6,143.65, 9,215.17 and 2,247.75

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Solution

The fourth proportional to 6,143.65, 9,215.17 and 2,247.75 is: 3,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.65 : 9,215.17 = 2,247.75 : x
  2. Step 2: Convert to fraction form
    6,143.65/9,215.17 = 2,247.75/x
  3. Step 3: Cross multiply
    6,143.65x = 9,215.17 × 2,247.75
  4. Step 4: Simplify right side
    6,143.65x = 20,713,392.75
  5. Step 5: Solve for x
    x = 20,713,392.75/6,143.65
  6. Step 6: Final answer
    x = 3,371.51

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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.