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Finding the Fourth Proportional to 9,166.36, 13,749.57 and 3,321.61

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Solution

The fourth proportional to 9,166.36, 13,749.57 and 3,321.61 is: 4,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.36 : 13,749.57 = 3,321.61 : x
  2. Step 2: Convert to fraction form
    9,166.36/13,749.57 = 3,321.61/x
  3. Step 3: Cross multiply
    9,166.36x = 13,749.57 × 3,321.61
  4. Step 4: Simplify right side
    9,166.36x = 45,670,709.21
  5. Step 5: Solve for x
    x = 45,670,709.21/9,166.36
  6. Step 6: Final answer
    x = 4,982.43

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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.