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Finding the Fourth Proportional to 9,454.43, 14,190.41 and 4,777.73

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Solution

The fourth proportional to 9,454.43, 14,190.41 and 4,777.73 is: 7,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.43 : 14,190.41 = 4,777.73 : x
  2. Step 2: Convert to fraction form
    9,454.43/14,190.41 = 4,777.73/x
  3. Step 3: Cross multiply
    9,454.43x = 14,190.41 × 4,777.73
  4. Step 4: Simplify right side
    9,454.43x = 67,797,947.57
  5. Step 5: Solve for x
    x = 67,797,947.57/9,454.43
  6. Step 6: Final answer
    x = 7,171.02

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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.