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Finding the Fourth Proportional to 6,209.80, 9,305.96 and 3,086.84

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Solution

The fourth proportional to 6,209.80, 9,305.96 and 3,086.84 is: 4,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.80 : 9,305.96 = 3,086.84 : x
  2. Step 2: Convert to fraction form
    6,209.80/9,305.96 = 3,086.84/x
  3. Step 3: Cross multiply
    6,209.80x = 9,305.96 × 3,086.84
  4. Step 4: Simplify right side
    6,209.80x = 28,726,017.40
  5. Step 5: Solve for x
    x = 28,726,017.40/6,209.80
  6. Step 6: Final answer
    x = 4,625.92

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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.