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Finding the Fourth Proportional to 9,682.87, 14,523.09 and 3,836.29

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Solution

The fourth proportional to 9,682.87, 14,523.09 and 3,836.29 is: 5,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.87 : 14,523.09 = 3,836.29 : x
  2. Step 2: Convert to fraction form
    9,682.87/14,523.09 = 3,836.29/x
  3. Step 3: Cross multiply
    9,682.87x = 14,523.09 × 3,836.29
  4. Step 4: Simplify right side
    9,682.87x = 55,714,784.94
  5. Step 5: Solve for x
    x = 55,714,784.94/9,682.87
  6. Step 6: Final answer
    x = 5,753.95

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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.