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Finding the Fourth Proportional to 6,913.68, 9,540.84 and 3,769.80

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Solution

The fourth proportional to 6,913.68, 9,540.84 and 3,769.80 is: 5,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.68 : 9,540.84 = 3,769.80 : x
  2. Step 2: Convert to fraction form
    6,913.68/9,540.84 = 3,769.80/x
  3. Step 3: Cross multiply
    6,913.68x = 9,540.84 × 3,769.80
  4. Step 4: Simplify right side
    6,913.68x = 35,967,058.63
  5. Step 5: Solve for x
    x = 35,967,058.63/6,913.68
  6. Step 6: Final answer
    x = 5,202.30

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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.