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Finding the Fourth Proportional to 6,191.17, 9,289.13 and 3,727.75

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Solution

The fourth proportional to 6,191.17, 9,289.13 and 3,727.75 is: 5,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.17 : 9,289.13 = 3,727.75 : x
  2. Step 2: Convert to fraction form
    6,191.17/9,289.13 = 3,727.75/x
  3. Step 3: Cross multiply
    6,191.17x = 9,289.13 × 3,727.75
  4. Step 4: Simplify right side
    6,191.17x = 34,627,535.72
  5. Step 5: Solve for x
    x = 34,627,535.72/6,191.17
  6. Step 6: Final answer
    x = 5,593.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.