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Finding the Fourth Proportional to 6,975.86, 9,626.69 and 3,789.14

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Solution

The fourth proportional to 6,975.86, 9,626.69 and 3,789.14 is: 5,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.86 : 9,626.69 = 3,789.14 : x
  2. Step 2: Convert to fraction form
    6,975.86/9,626.69 = 3,789.14/x
  3. Step 3: Cross multiply
    6,975.86x = 9,626.69 × 3,789.14
  4. Step 4: Simplify right side
    6,975.86x = 36,476,876.15
  5. Step 5: Solve for x
    x = 36,476,876.15/6,975.86
  6. Step 6: Final answer
    x = 5,229.01

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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.