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Finding the Fourth Proportional to 6,940.72, 9,576.84 and 4,147.12

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Solution

The fourth proportional to 6,940.72, 9,576.84 and 4,147.12 is: 5,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.72 : 9,576.84 = 4,147.12 : x
  2. Step 2: Convert to fraction form
    6,940.72/9,576.84 = 4,147.12/x
  3. Step 3: Cross multiply
    6,940.72x = 9,576.84 × 4,147.12
  4. Step 4: Simplify right side
    6,940.72x = 39,716,304.70
  5. Step 5: Solve for x
    x = 39,716,304.70/6,940.72
  6. Step 6: Final answer
    x = 5,722.22

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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.