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Finding the Fourth Proportional to 6,893.15, 9,514.29 and 3,910.76

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Solution

The fourth proportional to 6,893.15, 9,514.29 and 3,910.76 is: 5,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.15 : 9,514.29 = 3,910.76 : x
  2. Step 2: Convert to fraction form
    6,893.15/9,514.29 = 3,910.76/x
  3. Step 3: Cross multiply
    6,893.15x = 9,514.29 × 3,910.76
  4. Step 4: Simplify right side
    6,893.15x = 37,208,104.76
  5. Step 5: Solve for x
    x = 37,208,104.76/6,893.15
  6. Step 6: Final answer
    x = 5,397.84

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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.