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Finding the Fourth Proportional to 6,209.73, 8,563.55 and 3,967.71

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Solution

The fourth proportional to 6,209.73, 8,563.55 and 3,967.71 is: 5,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.73 : 8,563.55 = 3,967.71 : x
  2. Step 2: Convert to fraction form
    6,209.73/8,563.55 = 3,967.71/x
  3. Step 3: Cross multiply
    6,209.73x = 8,563.55 × 3,967.71
  4. Step 4: Simplify right side
    6,209.73x = 33,977,620.31
  5. Step 5: Solve for x
    x = 33,977,620.31/6,209.73
  6. Step 6: Final answer
    x = 5,471.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.