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Finding the Fourth Proportional to 6,744.06, 9,306.27 and 3,759.66

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Solution

The fourth proportional to 6,744.06, 9,306.27 and 3,759.66 is: 5,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.06 : 9,306.27 = 3,759.66 : x
  2. Step 2: Convert to fraction form
    6,744.06/9,306.27 = 3,759.66/x
  3. Step 3: Cross multiply
    6,744.06x = 9,306.27 × 3,759.66
  4. Step 4: Simplify right side
    6,744.06x = 34,988,411.07
  5. Step 5: Solve for x
    x = 34,988,411.07/6,744.06
  6. Step 6: Final answer
    x = 5,188.03

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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.