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Finding the Fourth Proportional to 7,145.78, 9,861.20 and 3,959.22

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Solution

The fourth proportional to 7,145.78, 9,861.20 and 3,959.22 is: 5,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.78 : 9,861.20 = 3,959.22 : x
  2. Step 2: Convert to fraction form
    7,145.78/9,861.20 = 3,959.22/x
  3. Step 3: Cross multiply
    7,145.78x = 9,861.20 × 3,959.22
  4. Step 4: Simplify right side
    7,145.78x = 39,042,660.26
  5. Step 5: Solve for x
    x = 39,042,660.26/7,145.78
  6. Step 6: Final answer
    x = 5,463.74

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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.