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Finding the Fourth Proportional to 6,187.80, 9,282.24 and 2,292.24

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Solution

The fourth proportional to 6,187.80, 9,282.24 and 2,292.24 is: 3,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.80 : 9,282.24 = 2,292.24 : x
  2. Step 2: Convert to fraction form
    6,187.80/9,282.24 = 2,292.24/x
  3. Step 3: Cross multiply
    6,187.80x = 9,282.24 × 2,292.24
  4. Step 4: Simplify right side
    6,187.80x = 21,277,121.82
  5. Step 5: Solve for x
    x = 21,277,121.82/6,187.80
  6. Step 6: Final answer
    x = 3,438.56

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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.