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Finding the Fourth Proportional to 6,753.14, 9,319.41 and 3,769.14

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Solution

The fourth proportional to 6,753.14, 9,319.41 and 3,769.14 is: 5,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.14 : 9,319.41 = 3,769.14 : x
  2. Step 2: Convert to fraction form
    6,753.14/9,319.41 = 3,769.14/x
  3. Step 3: Cross multiply
    6,753.14x = 9,319.41 × 3,769.14
  4. Step 4: Simplify right side
    6,753.14x = 35,126,161.01
  5. Step 5: Solve for x
    x = 35,126,161.01/6,753.14
  6. Step 6: Final answer
    x = 5,201.46

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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.