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Finding the Fourth Proportional to 6,304.60, 9,456.78 and 2,144.56

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Solution

The fourth proportional to 6,304.60, 9,456.78 and 2,144.56 is: 3,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.60 : 9,456.78 = 2,144.56 : x
  2. Step 2: Convert to fraction form
    6,304.60/9,456.78 = 2,144.56/x
  3. Step 3: Cross multiply
    6,304.60x = 9,456.78 × 2,144.56
  4. Step 4: Simplify right side
    6,304.60x = 20,280,632.12
  5. Step 5: Solve for x
    x = 20,280,632.12/6,304.60
  6. Step 6: Final answer
    x = 3,216.80

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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.