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Finding the Fourth Proportional to 4,809.73, 7,209.21 and 3,147.05

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Solution

The fourth proportional to 4,809.73, 7,209.21 and 3,147.05 is: 4,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.73 : 7,209.21 = 3,147.05 : x
  2. Step 2: Convert to fraction form
    4,809.73/7,209.21 = 3,147.05/x
  3. Step 3: Cross multiply
    4,809.73x = 7,209.21 × 3,147.05
  4. Step 4: Simplify right side
    4,809.73x = 22,687,744.33
  5. Step 5: Solve for x
    x = 22,687,744.33/4,809.73
  6. Step 6: Final answer
    x = 4,717.05

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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.