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Finding the Fourth Proportional to 6,394.44, 9,588.92 and 2,233.20

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Solution

The fourth proportional to 6,394.44, 9,588.92 and 2,233.20 is: 3,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.44 : 9,588.92 = 2,233.20 : x
  2. Step 2: Convert to fraction form
    6,394.44/9,588.92 = 2,233.20/x
  3. Step 3: Cross multiply
    6,394.44x = 9,588.92 × 2,233.20
  4. Step 4: Simplify right side
    6,394.44x = 21,413,964.98
  5. Step 5: Solve for x
    x = 21,413,964.98/6,394.44
  6. Step 6: Final answer
    x = 3,348.84

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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.