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Finding the Fourth Proportional to 6,982.01, 9,634.98 and 3,838.20

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Solution

The fourth proportional to 6,982.01, 9,634.98 and 3,838.20 is: 5,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.01 : 9,634.98 = 3,838.20 : x
  2. Step 2: Convert to fraction form
    6,982.01/9,634.98 = 3,838.20/x
  3. Step 3: Cross multiply
    6,982.01x = 9,634.98 × 3,838.20
  4. Step 4: Simplify right side
    6,982.01x = 36,980,980.24
  5. Step 5: Solve for x
    x = 36,980,980.24/6,982.01
  6. Step 6: Final answer
    x = 5,296.61

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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.