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Finding the Fourth Proportional to 6,617.23, 9,912.94 and 3,686.71

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Solution

The fourth proportional to 6,617.23, 9,912.94 and 3,686.71 is: 5,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.23 : 9,912.94 = 3,686.71 : x
  2. Step 2: Convert to fraction form
    6,617.23/9,912.94 = 3,686.71/x
  3. Step 3: Cross multiply
    6,617.23x = 9,912.94 × 3,686.71
  4. Step 4: Simplify right side
    6,617.23x = 36,546,135.03
  5. Step 5: Solve for x
    x = 36,546,135.03/6,617.23
  6. Step 6: Final answer
    x = 5,522.88

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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.