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Finding the Fourth Proportional to 6,754.38, 9,328.23 and 5,143.80

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Solution

The fourth proportional to 6,754.38, 9,328.23 and 5,143.80 is: 7,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.38 : 9,328.23 = 5,143.80 : x
  2. Step 2: Convert to fraction form
    6,754.38/9,328.23 = 5,143.80/x
  3. Step 3: Cross multiply
    6,754.38x = 9,328.23 × 5,143.80
  4. Step 4: Simplify right side
    6,754.38x = 47,982,549.47
  5. Step 5: Solve for x
    x = 47,982,549.47/6,754.38
  6. Step 6: Final answer
    x = 7,103.92

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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.