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Finding the Fourth Proportional to 9,694.08, 14,537.88 and 3,849.12

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Solution

The fourth proportional to 9,694.08, 14,537.88 and 3,849.12 is: 5,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.08 : 14,537.88 = 3,849.12 : x
  2. Step 2: Convert to fraction form
    9,694.08/14,537.88 = 3,849.12/x
  3. Step 3: Cross multiply
    9,694.08x = 14,537.88 × 3,849.12
  4. Step 4: Simplify right side
    9,694.08x = 55,958,044.67
  5. Step 5: Solve for x
    x = 55,958,044.67/9,694.08
  6. Step 6: Final answer
    x = 5,772.39

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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.