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Finding the Fourth Proportional to 9,097.97, 13,650.30 and 3,834.31

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Solution

The fourth proportional to 9,097.97, 13,650.30 and 3,834.31 is: 5,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.97 : 13,650.30 = 3,834.31 : x
  2. Step 2: Convert to fraction form
    9,097.97/13,650.30 = 3,834.31/x
  3. Step 3: Cross multiply
    9,097.97x = 13,650.30 × 3,834.31
  4. Step 4: Simplify right side
    9,097.97x = 52,339,394.37
  5. Step 5: Solve for x
    x = 52,339,394.37/9,097.97
  6. Step 6: Final answer
    x = 5,752.87

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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.