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Finding the Fourth Proportional to 9,107.67, 13,660.42 and 3,183.60

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Solution

The fourth proportional to 9,107.67, 13,660.42 and 3,183.60 is: 4,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.67 : 13,660.42 = 3,183.60 : x
  2. Step 2: Convert to fraction form
    9,107.67/13,660.42 = 3,183.60/x
  3. Step 3: Cross multiply
    9,107.67x = 13,660.42 × 3,183.60
  4. Step 4: Simplify right side
    9,107.67x = 43,489,313.11
  5. Step 5: Solve for x
    x = 43,489,313.11/9,107.67
  6. Step 6: Final answer
    x = 4,775.02

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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.