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Finding the Fourth Proportional to 6,131.78, 9,193.46 and 2,235.68

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Solution

The fourth proportional to 6,131.78, 9,193.46 and 2,235.68 is: 3,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.78 : 9,193.46 = 2,235.68 : x
  2. Step 2: Convert to fraction form
    6,131.78/9,193.46 = 2,235.68/x
  3. Step 3: Cross multiply
    6,131.78x = 9,193.46 × 2,235.68
  4. Step 4: Simplify right side
    6,131.78x = 20,553,634.65
  5. Step 5: Solve for x
    x = 20,553,634.65/6,131.78
  6. Step 6: Final answer
    x = 3,351.99

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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.