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Finding the Fourth Proportional to 6,643.41, 9,167.73 and 3,812.43

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Solution

The fourth proportional to 6,643.41, 9,167.73 and 3,812.43 is: 5,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.41 : 9,167.73 = 3,812.43 : x
  2. Step 2: Convert to fraction form
    6,643.41/9,167.73 = 3,812.43/x
  3. Step 3: Cross multiply
    6,643.41x = 9,167.73 × 3,812.43
  4. Step 4: Simplify right side
    6,643.41x = 34,951,370.41
  5. Step 5: Solve for x
    x = 34,951,370.41/6,643.41
  6. Step 6: Final answer
    x = 5,261.06

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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.