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Finding the Fourth Proportional to 6,354.60, 9,568.20 and 5,965.80

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Solution

The fourth proportional to 6,354.60, 9,568.20 and 5,965.80 is: 8,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.60 : 9,568.20 = 5,965.80 : x
  2. Step 2: Convert to fraction form
    6,354.60/9,568.20 = 5,965.80/x
  3. Step 3: Cross multiply
    6,354.60x = 9,568.20 × 5,965.80
  4. Step 4: Simplify right side
    6,354.60x = 57,081,967.56
  5. Step 5: Solve for x
    x = 57,081,967.56/6,354.60
  6. Step 6: Final answer
    x = 8,982.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.