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Finding the Fourth Proportional to 6,912.38, 9,538.98 and 3,768.50

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Solution

The fourth proportional to 6,912.38, 9,538.98 and 3,768.50 is: 5,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.38 : 9,538.98 = 3,768.50 : x
  2. Step 2: Convert to fraction form
    6,912.38/9,538.98 = 3,768.50/x
  3. Step 3: Cross multiply
    6,912.38x = 9,538.98 × 3,768.50
  4. Step 4: Simplify right side
    6,912.38x = 35,947,646.13
  5. Step 5: Solve for x
    x = 35,947,646.13/6,912.38
  6. Step 6: Final answer
    x = 5,200.47

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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.