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Finding the Fourth Proportional to 7,469.36, 11,173.25 and 6,138.12

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Solution

The fourth proportional to 7,469.36, 11,173.25 and 6,138.12 is: 9,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.36 : 11,173.25 = 6,138.12 : x
  2. Step 2: Convert to fraction form
    7,469.36/11,173.25 = 6,138.12/x
  3. Step 3: Cross multiply
    7,469.36x = 11,173.25 × 6,138.12
  4. Step 4: Simplify right side
    7,469.36x = 68,582,749.29
  5. Step 5: Solve for x
    x = 68,582,749.29/7,469.36
  6. Step 6: Final answer
    x = 9,181.88

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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.