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Finding the Fourth Proportional to 6,893.29, 9,514.89 and 3,911.11

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Solution

The fourth proportional to 6,893.29, 9,514.89 and 3,911.11 is: 5,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.29 : 9,514.89 = 3,911.11 : x
  2. Step 2: Convert to fraction form
    6,893.29/9,514.89 = 3,911.11/x
  3. Step 3: Cross multiply
    6,893.29x = 9,514.89 × 3,911.11
  4. Step 4: Simplify right side
    6,893.29x = 37,213,781.43
  5. Step 5: Solve for x
    x = 37,213,781.43/6,893.29
  6. Step 6: Final answer
    x = 5,398.55

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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.