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Finding the Fourth Proportional to 9,344.75, 14,022.63 and 3,797.67

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Solution

The fourth proportional to 9,344.75, 14,022.63 and 3,797.67 is: 5,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.75 : 14,022.63 = 3,797.67 : x
  2. Step 2: Convert to fraction form
    9,344.75/14,022.63 = 3,797.67/x
  3. Step 3: Cross multiply
    9,344.75x = 14,022.63 × 3,797.67
  4. Step 4: Simplify right side
    9,344.75x = 53,253,321.27
  5. Step 5: Solve for x
    x = 53,253,321.27/9,344.75
  6. Step 6: Final answer
    x = 5,698.75

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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.