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Finding the Fourth Proportional to 8,429.89, 12,634.58 and 5,965.42

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Solution

The fourth proportional to 8,429.89, 12,634.58 and 5,965.42 is: 8,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.89 : 12,634.58 = 5,965.42 : x
  2. Step 2: Convert to fraction form
    8,429.89/12,634.58 = 5,965.42/x
  3. Step 3: Cross multiply
    8,429.89x = 12,634.58 × 5,965.42
  4. Step 4: Simplify right side
    8,429.89x = 75,370,576.22
  5. Step 5: Solve for x
    x = 75,370,576.22/8,429.89
  6. Step 6: Final answer
    x = 8,940.87

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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.