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Finding the Fourth Proportional to 7,040.43, 9,706.97 and 4,518.09

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Solution

The fourth proportional to 7,040.43, 9,706.97 and 4,518.09 is: 6,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.43 : 9,706.97 = 4,518.09 : x
  2. Step 2: Convert to fraction form
    7,040.43/9,706.97 = 4,518.09/x
  3. Step 3: Cross multiply
    7,040.43x = 9,706.97 × 4,518.09
  4. Step 4: Simplify right side
    7,040.43x = 43,856,975.38
  5. Step 5: Solve for x
    x = 43,856,975.38/7,040.43
  6. Step 6: Final answer
    x = 6,229.30

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Why These Related Problems?

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