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Finding the Fourth Proportional to 8,209.56, 12,309.84 and 3,528.12

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Solution

The fourth proportional to 8,209.56, 12,309.84 and 3,528.12 is: 5,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.56 : 12,309.84 = 3,528.12 : x
  2. Step 2: Convert to fraction form
    8,209.56/12,309.84 = 3,528.12/x
  3. Step 3: Cross multiply
    8,209.56x = 12,309.84 × 3,528.12
  4. Step 4: Simplify right side
    8,209.56x = 43,430,592.70
  5. Step 5: Solve for x
    x = 43,430,592.70/8,209.56
  6. Step 6: Final answer
    x = 5,290.25

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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.