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Finding the Fourth Proportional to 6,912.50, 9,539.40 and 3,768.70

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Solution

The fourth proportional to 6,912.50, 9,539.40 and 3,768.70 is: 5,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.50 : 9,539.40 = 3,768.70 : x
  2. Step 2: Convert to fraction form
    6,912.50/9,539.40 = 3,768.70/x
  3. Step 3: Cross multiply
    6,912.50x = 9,539.40 × 3,768.70
  4. Step 4: Simplify right side
    6,912.50x = 35,951,136.78
  5. Step 5: Solve for x
    x = 35,951,136.78/6,912.50
  6. Step 6: Final answer
    x = 5,200.89

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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.