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Finding the Fourth Proportional to 6,912.29, 9,538.81 and 3,768.47

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Solution

The fourth proportional to 6,912.29, 9,538.81 and 3,768.47 is: 5,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.29 : 9,538.81 = 3,768.47 : x
  2. Step 2: Convert to fraction form
    6,912.29/9,538.81 = 3,768.47/x
  3. Step 3: Cross multiply
    6,912.29x = 9,538.81 × 3,768.47
  4. Step 4: Simplify right side
    6,912.29x = 35,946,772.83
  5. Step 5: Solve for x
    x = 35,946,772.83/6,912.29
  6. Step 6: Final answer
    x = 5,200.42

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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.