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Finding the Fourth Proportional to 9,305.80, 13,958.80 and 2,732.12

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Solution

The fourth proportional to 9,305.80, 13,958.80 and 2,732.12 is: 4,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.80 : 13,958.80 = 2,732.12 : x
  2. Step 2: Convert to fraction form
    9,305.80/13,958.80 = 2,732.12/x
  3. Step 3: Cross multiply
    9,305.80x = 13,958.80 × 2,732.12
  4. Step 4: Simplify right side
    9,305.80x = 38,137,116.66
  5. Step 5: Solve for x
    x = 38,137,116.66/9,305.80
  6. Step 6: Final answer
    x = 4,098.21

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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.