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Finding the Fourth Proportional to 6,523.22, 9,785.20 and 2,627.12

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Solution

The fourth proportional to 6,523.22, 9,785.20 and 2,627.12 is: 3,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.22 : 9,785.20 = 2,627.12 : x
  2. Step 2: Convert to fraction form
    6,523.22/9,785.20 = 2,627.12/x
  3. Step 3: Cross multiply
    6,523.22x = 9,785.20 × 2,627.12
  4. Step 4: Simplify right side
    6,523.22x = 25,706,894.62
  5. Step 5: Solve for x
    x = 25,706,894.62/6,523.22
  6. Step 6: Final answer
    x = 3,940.83

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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.