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Finding the Fourth Proportional to 9,269.82, 13,933.89 and 8,052.39

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Solution

The fourth proportional to 9,269.82, 13,933.89 and 8,052.39 is: 12,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.82 : 13,933.89 = 8,052.39 : x
  2. Step 2: Convert to fraction form
    9,269.82/13,933.89 = 8,052.39/x
  3. Step 3: Cross multiply
    9,269.82x = 13,933.89 × 8,052.39
  4. Step 4: Simplify right side
    9,269.82x = 112,201,116.50
  5. Step 5: Solve for x
    x = 112,201,116.50/9,269.82
  6. Step 6: Final answer
    x = 12,103.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.