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Finding the Fourth Proportional to 6,912.26, 9,538.90 and 3,768.46

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Solution

The fourth proportional to 6,912.26, 9,538.90 and 3,768.46 is: 5,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.26 : 9,538.90 = 3,768.46 : x
  2. Step 2: Convert to fraction form
    6,912.26/9,538.90 = 3,768.46/x
  3. Step 3: Cross multiply
    6,912.26x = 9,538.90 × 3,768.46
  4. Step 4: Simplify right side
    6,912.26x = 35,946,963.09
  5. Step 5: Solve for x
    x = 35,946,963.09/6,912.26
  6. Step 6: Final answer
    x = 5,200.46

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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.