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Finding the Fourth Proportional to 9,057.44, 13,588.46 and 3,794.46

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Solution

The fourth proportional to 9,057.44, 13,588.46 and 3,794.46 is: 5,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.44 : 13,588.46 = 3,794.46 : x
  2. Step 2: Convert to fraction form
    9,057.44/13,588.46 = 3,794.46/x
  3. Step 3: Cross multiply
    9,057.44x = 13,588.46 × 3,794.46
  4. Step 4: Simplify right side
    9,057.44x = 51,560,867.93
  5. Step 5: Solve for x
    x = 51,560,867.93/9,057.44
  6. Step 6: Final answer
    x = 5,692.65

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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.