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Finding the Fourth Proportional to 7,050.33, 9,729.09 and 3,863.43

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Solution

The fourth proportional to 7,050.33, 9,729.09 and 3,863.43 is: 5,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.33 : 9,729.09 = 3,863.43 : x
  2. Step 2: Convert to fraction form
    7,050.33/9,729.09 = 3,863.43/x
  3. Step 3: Cross multiply
    7,050.33x = 9,729.09 × 3,863.43
  4. Step 4: Simplify right side
    7,050.33x = 37,587,658.18
  5. Step 5: Solve for x
    x = 37,587,658.18/7,050.33
  6. Step 6: Final answer
    x = 5,331.33

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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.