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Finding the Fourth Proportional to 9,691.57, 14,537.37 and 2,766.07

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Solution

The fourth proportional to 9,691.57, 14,537.37 and 2,766.07 is: 4,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.57 : 14,537.37 = 2,766.07 : x
  2. Step 2: Convert to fraction form
    9,691.57/14,537.37 = 2,766.07/x
  3. Step 3: Cross multiply
    9,691.57x = 14,537.37 × 2,766.07
  4. Step 4: Simplify right side
    9,691.57x = 40,211,383.04
  5. Step 5: Solve for x
    x = 40,211,383.04/9,691.57
  6. Step 6: Final answer
    x = 4,149.11

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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.