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Finding the Fourth Proportional to 6,982.23, 9,635.76 and 3,999

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Solution

The fourth proportional to 6,982.23, 9,635.76 and 3,999 is: 5,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.23 : 9,635.76 = 3,999 : x
  2. Step 2: Convert to fraction form
    6,982.23/9,635.76 = 3,999/x
  3. Step 3: Cross multiply
    6,982.23x = 9,635.76 × 3,999
  4. Step 4: Simplify right side
    6,982.23x = 38,533,404.24
  5. Step 5: Solve for x
    x = 38,533,404.24/6,982.23
  6. Step 6: Final answer
    x = 5,518.78

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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.