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Finding the Fourth Proportional to 8,212.94, 12,328.63 and 3,286.02

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Solution

The fourth proportional to 8,212.94, 12,328.63 and 3,286.02 is: 4,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.94 : 12,328.63 = 3,286.02 : x
  2. Step 2: Convert to fraction form
    8,212.94/12,328.63 = 3,286.02/x
  3. Step 3: Cross multiply
    8,212.94x = 12,328.63 × 3,286.02
  4. Step 4: Simplify right side
    8,212.94x = 40,512,116.54
  5. Step 5: Solve for x
    x = 40,512,116.54/8,212.94
  6. Step 6: Final answer
    x = 4,932.72

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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.