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Finding the Fourth Proportional to 6,217.64, 9,326.40 and 5,906.18

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Solution

The fourth proportional to 6,217.64, 9,326.40 and 5,906.18 is: 8,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.64 : 9,326.40 = 5,906.18 : x
  2. Step 2: Convert to fraction form
    6,217.64/9,326.40 = 5,906.18/x
  3. Step 3: Cross multiply
    6,217.64x = 9,326.40 × 5,906.18
  4. Step 4: Simplify right side
    6,217.64x = 55,083,397.15
  5. Step 5: Solve for x
    x = 55,083,397.15/6,217.64
  6. Step 6: Final answer
    x = 8,859.21

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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.