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Finding the Fourth Proportional to 6,290.53, 9,433.31 and 2,286.97

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Solution

The fourth proportional to 6,290.53, 9,433.31 and 2,286.97 is: 3,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.53 : 9,433.31 = 2,286.97 : x
  2. Step 2: Convert to fraction form
    6,290.53/9,433.31 = 2,286.97/x
  3. Step 3: Cross multiply
    6,290.53x = 9,433.31 × 2,286.97
  4. Step 4: Simplify right side
    6,290.53x = 21,573,696.97
  5. Step 5: Solve for x
    x = 21,573,696.97/6,290.53
  6. Step 6: Final answer
    x = 3,429.55

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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.