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Finding the Fourth Proportional to 6,997.80, 9,657.41 and 3,853.99

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Solution

The fourth proportional to 6,997.80, 9,657.41 and 3,853.99 is: 5,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.80 : 9,657.41 = 3,853.99 : x
  2. Step 2: Convert to fraction form
    6,997.80/9,657.41 = 3,853.99/x
  3. Step 3: Cross multiply
    6,997.80x = 9,657.41 × 3,853.99
  4. Step 4: Simplify right side
    6,997.80x = 37,219,542.30
  5. Step 5: Solve for x
    x = 37,219,542.30/6,997.80
  6. Step 6: Final answer
    x = 5,318.75

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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.