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Finding the Fourth Proportional to 8,209.10, 12,309.14 and 4,039.94

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Solution

The fourth proportional to 8,209.10, 12,309.14 and 4,039.94 is: 6,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.10 : 12,309.14 = 4,039.94 : x
  2. Step 2: Convert to fraction form
    8,209.10/12,309.14 = 4,039.94/x
  3. Step 3: Cross multiply
    8,209.10x = 12,309.14 × 4,039.94
  4. Step 4: Simplify right side
    8,209.10x = 49,728,187.05
  5. Step 5: Solve for x
    x = 49,728,187.05/8,209.10
  6. Step 6: Final answer
    x = 6,057.69

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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.