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Finding the Fourth Proportional to 6,893.28, 9,512.18 and 3,909.57

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Solution

The fourth proportional to 6,893.28, 9,512.18 and 3,909.57 is: 5,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.28 : 9,512.18 = 3,909.57 : x
  2. Step 2: Convert to fraction form
    6,893.28/9,512.18 = 3,909.57/x
  3. Step 3: Cross multiply
    6,893.28x = 9,512.18 × 3,909.57
  4. Step 4: Simplify right side
    6,893.28x = 37,188,514.01
  5. Step 5: Solve for x
    x = 37,188,514.01/6,893.28
  6. Step 6: Final answer
    x = 5,394.89

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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.