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Finding the Fourth Proportional to 9,200.30, 13,793.70 and 3,650.90

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Solution

The fourth proportional to 9,200.30, 13,793.70 and 3,650.90 is: 5,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.30 : 13,793.70 = 3,650.90 : x
  2. Step 2: Convert to fraction form
    9,200.30/13,793.70 = 3,650.90/x
  3. Step 3: Cross multiply
    9,200.30x = 13,793.70 × 3,650.90
  4. Step 4: Simplify right side
    9,200.30x = 50,359,419.33
  5. Step 5: Solve for x
    x = 50,359,419.33/9,200.30
  6. Step 6: Final answer
    x = 5,473.67

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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.