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Finding the Fourth Proportional to 6,286.36, 9,428.82 and 1,669.72

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Solution

The fourth proportional to 6,286.36, 9,428.82 and 1,669.72 is: 2,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.36 : 9,428.82 = 1,669.72 : x
  2. Step 2: Convert to fraction form
    6,286.36/9,428.82 = 1,669.72/x
  3. Step 3: Cross multiply
    6,286.36x = 9,428.82 × 1,669.72
  4. Step 4: Simplify right side
    6,286.36x = 15,743,489.33
  5. Step 5: Solve for x
    x = 15,743,489.33/6,286.36
  6. Step 6: Final answer
    x = 2,504.39

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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.