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Finding the Fourth Proportional to 8,109.14, 12,165.35 and 3,429.14

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Solution

The fourth proportional to 8,109.14, 12,165.35 and 3,429.14 is: 5,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.14 : 12,165.35 = 3,429.14 : x
  2. Step 2: Convert to fraction form
    8,109.14/12,165.35 = 3,429.14/x
  3. Step 3: Cross multiply
    8,109.14x = 12,165.35 × 3,429.14
  4. Step 4: Simplify right side
    8,109.14x = 41,716,634.44
  5. Step 5: Solve for x
    x = 41,716,634.44/8,109.14
  6. Step 6: Final answer
    x = 5,144.40

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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.