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Finding the Fourth Proportional to 9,195.50, 13,786.50 and 3,352.16

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Solution

The fourth proportional to 9,195.50, 13,786.50 and 3,352.16 is: 5,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.50 : 13,786.50 = 3,352.16 : x
  2. Step 2: Convert to fraction form
    9,195.50/13,786.50 = 3,352.16/x
  3. Step 3: Cross multiply
    9,195.50x = 13,786.50 × 3,352.16
  4. Step 4: Simplify right side
    9,195.50x = 46,214,553.84
  5. Step 5: Solve for x
    x = 46,214,553.84/9,195.50
  6. Step 6: Final answer
    x = 5,025.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.