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Finding the Fourth Proportional to 8,125.68, 12,189.10 and 3,969.14

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Solution

The fourth proportional to 8,125.68, 12,189.10 and 3,969.14 is: 5,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.68 : 12,189.10 = 3,969.14 : x
  2. Step 2: Convert to fraction form
    8,125.68/12,189.10 = 3,969.14/x
  3. Step 3: Cross multiply
    8,125.68x = 12,189.10 × 3,969.14
  4. Step 4: Simplify right side
    8,125.68x = 48,380,244.37
  5. Step 5: Solve for x
    x = 48,380,244.37/8,125.68
  6. Step 6: Final answer
    x = 5,953.99

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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.