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Finding the Fourth Proportional to 9,234.81, 13,849.25 and 3,968.39

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Solution

The fourth proportional to 9,234.81, 13,849.25 and 3,968.39 is: 5,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.81 : 13,849.25 = 3,968.39 : x
  2. Step 2: Convert to fraction form
    9,234.81/13,849.25 = 3,968.39/x
  3. Step 3: Cross multiply
    9,234.81x = 13,849.25 × 3,968.39
  4. Step 4: Simplify right side
    9,234.81x = 54,959,136.12
  5. Step 5: Solve for x
    x = 54,959,136.12/9,234.81
  6. Step 6: Final answer
    x = 5,951.30

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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.