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Finding the Fourth Proportional to 6,233.19, 9,353.22 and 3,311.38

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Solution

The fourth proportional to 6,233.19, 9,353.22 and 3,311.38 is: 4,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.19 : 9,353.22 = 3,311.38 : x
  2. Step 2: Convert to fraction form
    6,233.19/9,353.22 = 3,311.38/x
  3. Step 3: Cross multiply
    6,233.19x = 9,353.22 × 3,311.38
  4. Step 4: Simplify right side
    6,233.19x = 30,972,065.64
  5. Step 5: Solve for x
    x = 30,972,065.64/6,233.19
  6. Step 6: Final answer
    x = 4,968.89

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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.