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Finding the Fourth Proportional to 6,469.35, 9,695.91 and 2,767.23

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Solution

The fourth proportional to 6,469.35, 9,695.91 and 2,767.23 is: 4,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.35 : 9,695.91 = 2,767.23 : x
  2. Step 2: Convert to fraction form
    6,469.35/9,695.91 = 2,767.23/x
  3. Step 3: Cross multiply
    6,469.35x = 9,695.91 × 2,767.23
  4. Step 4: Simplify right side
    6,469.35x = 26,830,813.03
  5. Step 5: Solve for x
    x = 26,830,813.03/6,469.35
  6. Step 6: Final answer
    x = 4,147.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.