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Finding the Fourth Proportional to 9,231.54, 13,849.14 and 3,388.20

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Solution

The fourth proportional to 9,231.54, 13,849.14 and 3,388.20 is: 5,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.54 : 13,849.14 = 3,388.20 : x
  2. Step 2: Convert to fraction form
    9,231.54/13,849.14 = 3,388.20/x
  3. Step 3: Cross multiply
    9,231.54x = 13,849.14 × 3,388.20
  4. Step 4: Simplify right side
    9,231.54x = 46,923,656.15
  5. Step 5: Solve for x
    x = 46,923,656.15/9,231.54
  6. Step 6: Final answer
    x = 5,082.97

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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.