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Finding the Fourth Proportional to 6,912.20, 9,538.72 and 3,768.39

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Solution

The fourth proportional to 6,912.20, 9,538.72 and 3,768.39 is: 5,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.20 : 9,538.72 = 3,768.39 : x
  2. Step 2: Convert to fraction form
    6,912.20/9,538.72 = 3,768.39/x
  3. Step 3: Cross multiply
    6,912.20x = 9,538.72 × 3,768.39
  4. Step 4: Simplify right side
    6,912.20x = 35,945,607.64
  5. Step 5: Solve for x
    x = 35,945,607.64/6,912.20
  6. Step 6: Final answer
    x = 5,200.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.