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Finding the Fourth Proportional to 6,975.80, 9,626.67 and 3,789.13

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Solution

The fourth proportional to 6,975.80, 9,626.67 and 3,789.13 is: 5,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.80 : 9,626.67 = 3,789.13 : x
  2. Step 2: Convert to fraction form
    6,975.80/9,626.67 = 3,789.13/x
  3. Step 3: Cross multiply
    6,975.80x = 9,626.67 × 3,789.13
  4. Step 4: Simplify right side
    6,975.80x = 36,476,655.96
  5. Step 5: Solve for x
    x = 36,476,655.96/6,975.80
  6. Step 6: Final answer
    x = 5,229.03

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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.