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Finding the Fourth Proportional to 6,305.39, 9,452.61 and 3,182.80

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Solution

The fourth proportional to 6,305.39, 9,452.61 and 3,182.80 is: 4,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.39 : 9,452.61 = 3,182.80 : x
  2. Step 2: Convert to fraction form
    6,305.39/9,452.61 = 3,182.80/x
  3. Step 3: Cross multiply
    6,305.39x = 9,452.61 × 3,182.80
  4. Step 4: Simplify right side
    6,305.39x = 30,085,719.84
  5. Step 5: Solve for x
    x = 30,085,719.84/6,305.39
  6. Step 6: Final answer
    x = 4,771.43

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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.