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Finding the Fourth Proportional to 6,799.34, 9,383.75 and 4,149.43

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Solution

The fourth proportional to 6,799.34, 9,383.75 and 4,149.43 is: 5,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.34 : 9,383.75 = 4,149.43 : x
  2. Step 2: Convert to fraction form
    6,799.34/9,383.75 = 4,149.43/x
  3. Step 3: Cross multiply
    6,799.34x = 9,383.75 × 4,149.43
  4. Step 4: Simplify right side
    6,799.34x = 38,937,185.12
  5. Step 5: Solve for x
    x = 38,937,185.12/6,799.34
  6. Step 6: Final answer
    x = 5,726.61

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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.