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Finding the Fourth Proportional to 9,214.92, 13,817.25 and 5,468.22

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Solution

The fourth proportional to 9,214.92, 13,817.25 and 5,468.22 is: 8,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.92 : 13,817.25 = 5,468.22 : x
  2. Step 2: Convert to fraction form
    9,214.92/13,817.25 = 5,468.22/x
  3. Step 3: Cross multiply
    9,214.92x = 13,817.25 × 5,468.22
  4. Step 4: Simplify right side
    9,214.92x = 75,555,762.80
  5. Step 5: Solve for x
    x = 75,555,762.80/9,214.92
  6. Step 6: Final answer
    x = 8,199.29

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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.