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Finding the Fourth Proportional to 9,234.75, 12,745.42 and 5,257.14

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Solution

The fourth proportional to 9,234.75, 12,745.42 and 5,257.14 is: 7,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.75 : 12,745.42 = 5,257.14 : x
  2. Step 2: Convert to fraction form
    9,234.75/12,745.42 = 5,257.14/x
  3. Step 3: Cross multiply
    9,234.75x = 12,745.42 × 5,257.14
  4. Step 4: Simplify right side
    9,234.75x = 67,004,431.01
  5. Step 5: Solve for x
    x = 67,004,431.01/9,234.75
  6. Step 6: Final answer
    x = 7,255.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.