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Finding the Fourth Proportional to 6,841.38, 9,440.54 and 4,008.38

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Solution

The fourth proportional to 6,841.38, 9,440.54 and 4,008.38 is: 5,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.38 : 9,440.54 = 4,008.38 : x
  2. Step 2: Convert to fraction form
    6,841.38/9,440.54 = 4,008.38/x
  3. Step 3: Cross multiply
    6,841.38x = 9,440.54 × 4,008.38
  4. Step 4: Simplify right side
    6,841.38x = 37,841,271.73
  5. Step 5: Solve for x
    x = 37,841,271.73/6,841.38
  6. Step 6: Final answer
    x = 5,531.23

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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.