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Finding the Fourth Proportional to 6,233.42, 9,353.17 and 2,538.20

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Solution

The fourth proportional to 6,233.42, 9,353.17 and 2,538.20 is: 3,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.42 : 9,353.17 = 2,538.20 : x
  2. Step 2: Convert to fraction form
    6,233.42/9,353.17 = 2,538.20/x
  3. Step 3: Cross multiply
    6,233.42x = 9,353.17 × 2,538.20
  4. Step 4: Simplify right side
    6,233.42x = 23,740,242.65
  5. Step 5: Solve for x
    x = 23,740,242.65/6,233.42
  6. Step 6: Final answer
    x = 3,808.54

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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.