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Finding the Fourth Proportional to 6,982.02, 9,634.50 and 3,957.30

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Solution

The fourth proportional to 6,982.02, 9,634.50 and 3,957.30 is: 5,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.02 : 9,634.50 = 3,957.30 : x
  2. Step 2: Convert to fraction form
    6,982.02/9,634.50 = 3,957.30/x
  3. Step 3: Cross multiply
    6,982.02x = 9,634.50 × 3,957.30
  4. Step 4: Simplify right side
    6,982.02x = 38,126,606.85
  5. Step 5: Solve for x
    x = 38,126,606.85/6,982.02
  6. Step 6: Final answer
    x = 5,460.68

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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.