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Finding the Fourth Proportional to 6,910.90, 9,537.30 and 3,927.24

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Solution

The fourth proportional to 6,910.90, 9,537.30 and 3,927.24 is: 5,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.90 : 9,537.30 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    6,910.90/9,537.30 = 3,927.24/x
  3. Step 3: Cross multiply
    6,910.90x = 9,537.30 × 3,927.24
  4. Step 4: Simplify right side
    6,910.90x = 37,455,198.73
  5. Step 5: Solve for x
    x = 37,455,198.73/6,910.90
  6. Step 6: Final answer
    x = 5,419.73

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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.