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Finding the Fourth Proportional to 9,201.62, 13,793.85 and 3,653.90

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Solution

The fourth proportional to 9,201.62, 13,793.85 and 3,653.90 is: 5,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.62 : 13,793.85 = 3,653.90 : x
  2. Step 2: Convert to fraction form
    9,201.62/13,793.85 = 3,653.90/x
  3. Step 3: Cross multiply
    9,201.62x = 13,793.85 × 3,653.90
  4. Step 4: Simplify right side
    9,201.62x = 50,401,348.52
  5. Step 5: Solve for x
    x = 50,401,348.52/9,201.62
  6. Step 6: Final answer
    x = 5,477.44

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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.