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Finding the Fourth Proportional to 6,650.90, 9,175.67 and 3,817.25

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Solution

The fourth proportional to 6,650.90, 9,175.67 and 3,817.25 is: 5,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.90 : 9,175.67 = 3,817.25 : x
  2. Step 2: Convert to fraction form
    6,650.90/9,175.67 = 3,817.25/x
  3. Step 3: Cross multiply
    6,650.90x = 9,175.67 × 3,817.25
  4. Step 4: Simplify right side
    6,650.90x = 35,025,761.34
  5. Step 5: Solve for x
    x = 35,025,761.34/6,650.90
  6. Step 6: Final answer
    x = 5,266.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.