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Finding the Fourth Proportional to 8,144.38, 12,214.10 and 3,464.34

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Solution

The fourth proportional to 8,144.38, 12,214.10 and 3,464.34 is: 5,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.38 : 12,214.10 = 3,464.34 : x
  2. Step 2: Convert to fraction form
    8,144.38/12,214.10 = 3,464.34/x
  3. Step 3: Cross multiply
    8,144.38x = 12,214.10 × 3,464.34
  4. Step 4: Simplify right side
    8,144.38x = 42,313,795.19
  5. Step 5: Solve for x
    x = 42,313,795.19/8,144.38
  6. Step 6: Final answer
    x = 5,195.46

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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.