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Finding the Fourth Proportional to 9,906.72, 14,866.02 and 3,665.67

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Solution

The fourth proportional to 9,906.72, 14,866.02 and 3,665.67 is: 5,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.72 : 14,866.02 = 3,665.67 : x
  2. Step 2: Convert to fraction form
    9,906.72/14,866.02 = 3,665.67/x
  3. Step 3: Cross multiply
    9,906.72x = 14,866.02 × 3,665.67
  4. Step 4: Simplify right side
    9,906.72x = 54,493,923.53
  5. Step 5: Solve for x
    x = 54,493,923.53/9,906.72
  6. Step 6: Final answer
    x = 5,500.70

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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.