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Finding the Fourth Proportional to 6,481.18, 9,719.34 and 3,016

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Solution

The fourth proportional to 6,481.18, 9,719.34 and 3,016 is: 4,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.18 : 9,719.34 = 3,016 : x
  2. Step 2: Convert to fraction form
    6,481.18/9,719.34 = 3,016/x
  3. Step 3: Cross multiply
    6,481.18x = 9,719.34 × 3,016
  4. Step 4: Simplify right side
    6,481.18x = 29,313,529.44
  5. Step 5: Solve for x
    x = 29,313,529.44/6,481.18
  6. Step 6: Final answer
    x = 4,522.87

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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.