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Finding the Fourth Proportional to 9,211.29, 13,814.22 and 3,287.22

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Solution

The fourth proportional to 9,211.29, 13,814.22 and 3,287.22 is: 4,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.29 : 13,814.22 = 3,287.22 : x
  2. Step 2: Convert to fraction form
    9,211.29/13,814.22 = 3,287.22/x
  3. Step 3: Cross multiply
    9,211.29x = 13,814.22 × 3,287.22
  4. Step 4: Simplify right side
    9,211.29x = 45,410,380.27
  5. Step 5: Solve for x
    x = 45,410,380.27/9,211.29
  6. Step 6: Final answer
    x = 4,929.86

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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.