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Finding the Fourth Proportional to 8,309.38, 12,468.39 and 3,382.66

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Solution

The fourth proportional to 8,309.38, 12,468.39 and 3,382.66 is: 5,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.38 : 12,468.39 = 3,382.66 : x
  2. Step 2: Convert to fraction form
    8,309.38/12,468.39 = 3,382.66/x
  3. Step 3: Cross multiply
    8,309.38x = 12,468.39 × 3,382.66
  4. Step 4: Simplify right side
    8,309.38x = 42,176,324.12
  5. Step 5: Solve for x
    x = 42,176,324.12/8,309.38
  6. Step 6: Final answer
    x = 5,075.75

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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.