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Finding the Fourth Proportional to 6,847.75, 9,449.90 and 3,864.22

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Solution

The fourth proportional to 6,847.75, 9,449.90 and 3,864.22 is: 5,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.75 : 9,449.90 = 3,864.22 : x
  2. Step 2: Convert to fraction form
    6,847.75/9,449.90 = 3,864.22/x
  3. Step 3: Cross multiply
    6,847.75x = 9,449.90 × 3,864.22
  4. Step 4: Simplify right side
    6,847.75x = 36,516,464.12
  5. Step 5: Solve for x
    x = 36,516,464.12/6,847.75
  6. Step 6: Final answer
    x = 5,332.62

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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.