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Finding the Fourth Proportional to 6,913.46, 9,540.42 and 3,769.76

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Solution

The fourth proportional to 6,913.46, 9,540.42 and 3,769.76 is: 5,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.46 : 9,540.42 = 3,769.76 : x
  2. Step 2: Convert to fraction form
    6,913.46/9,540.42 = 3,769.76/x
  3. Step 3: Cross multiply
    6,913.46x = 9,540.42 × 3,769.76
  4. Step 4: Simplify right side
    6,913.46x = 35,965,093.70
  5. Step 5: Solve for x
    x = 35,965,093.70/6,913.46
  6. Step 6: Final answer
    x = 5,202.18

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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.