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Finding the Fourth Proportional to 9,083.64, 13,629.30 and 3,891.96

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Solution

The fourth proportional to 9,083.64, 13,629.30 and 3,891.96 is: 5,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.64 : 13,629.30 = 3,891.96 : x
  2. Step 2: Convert to fraction form
    9,083.64/13,629.30 = 3,891.96/x
  3. Step 3: Cross multiply
    9,083.64x = 13,629.30 × 3,891.96
  4. Step 4: Simplify right side
    9,083.64x = 53,044,690.43
  5. Step 5: Solve for x
    x = 53,044,690.43/9,083.64
  6. Step 6: Final answer
    x = 5,839.59

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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.