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Finding the Fourth Proportional to 6,913.26, 9,540.36 and 3,769.47

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Solution

The fourth proportional to 6,913.26, 9,540.36 and 3,769.47 is: 5,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.26 : 9,540.36 = 3,769.47 : x
  2. Step 2: Convert to fraction form
    6,913.26/9,540.36 = 3,769.47/x
  3. Step 3: Cross multiply
    6,913.26x = 9,540.36 × 3,769.47
  4. Step 4: Simplify right side
    6,913.26x = 35,962,100.81
  5. Step 5: Solve for x
    x = 35,962,100.81/6,913.26
  6. Step 6: Final answer
    x = 5,201.90

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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.