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Finding the Fourth Proportional to 9,076.42, 13,609.34 and 3,523.27

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Solution

The fourth proportional to 9,076.42, 13,609.34 and 3,523.27 is: 5,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.42 : 13,609.34 = 3,523.27 : x
  2. Step 2: Convert to fraction form
    9,076.42/13,609.34 = 3,523.27/x
  3. Step 3: Cross multiply
    9,076.42x = 13,609.34 × 3,523.27
  4. Step 4: Simplify right side
    9,076.42x = 47,949,361.73
  5. Step 5: Solve for x
    x = 47,949,361.73/9,076.42
  6. Step 6: Final answer
    x = 5,282.85

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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.