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Finding the Fourth Proportional to 6,744.83, 9,307.88 and 3,912.74

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Solution

The fourth proportional to 6,744.83, 9,307.88 and 3,912.74 is: 5,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.83 : 9,307.88 = 3,912.74 : x
  2. Step 2: Convert to fraction form
    6,744.83/9,307.88 = 3,912.74/x
  3. Step 3: Cross multiply
    6,744.83x = 9,307.88 × 3,912.74
  4. Step 4: Simplify right side
    6,744.83x = 36,419,294.83
  5. Step 5: Solve for x
    x = 36,419,294.83/6,744.83
  6. Step 6: Final answer
    x = 5,399.59

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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.