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Finding the Fourth Proportional to 6,716.43, 9,264.93 and 6,241.29

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Solution

The fourth proportional to 6,716.43, 9,264.93 and 6,241.29 is: 8,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.43 : 9,264.93 = 6,241.29 : x
  2. Step 2: Convert to fraction form
    6,716.43/9,264.93 = 6,241.29/x
  3. Step 3: Cross multiply
    6,716.43x = 9,264.93 × 6,241.29
  4. Step 4: Simplify right side
    6,716.43x = 57,825,114.96
  5. Step 5: Solve for x
    x = 57,825,114.96/6,716.43
  6. Step 6: Final answer
    x = 8,609.50

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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.