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Finding the Fourth Proportional to 6,151.39, 9,227.23 and 2,202.93

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Solution

The fourth proportional to 6,151.39, 9,227.23 and 2,202.93 is: 3,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.39 : 9,227.23 = 2,202.93 : x
  2. Step 2: Convert to fraction form
    6,151.39/9,227.23 = 2,202.93/x
  3. Step 3: Cross multiply
    6,151.39x = 9,227.23 × 2,202.93
  4. Step 4: Simplify right side
    6,151.39x = 20,326,926.88
  5. Step 5: Solve for x
    x = 20,326,926.88/6,151.39
  6. Step 6: Final answer
    x = 3,304.44

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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.