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Finding the Fourth Proportional to 9,234.96, 13,847.58 and 8,183.16

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Solution

The fourth proportional to 9,234.96, 13,847.58 and 8,183.16 is: 12,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.96 : 13,847.58 = 8,183.16 : x
  2. Step 2: Convert to fraction form
    9,234.96/13,847.58 = 8,183.16/x
  3. Step 3: Cross multiply
    9,234.96x = 13,847.58 × 8,183.16
  4. Step 4: Simplify right side
    9,234.96x = 113,316,962.75
  5. Step 5: Solve for x
    x = 113,316,962.75/9,234.96
  6. Step 6: Final answer
    x = 12,270.43

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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.