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Finding the Fourth Proportional to 6,961.82, 9,607.28 and 3,818.03

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Solution

The fourth proportional to 6,961.82, 9,607.28 and 3,818.03 is: 5,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.82 : 9,607.28 = 3,818.03 : x
  2. Step 2: Convert to fraction form
    6,961.82/9,607.28 = 3,818.03/x
  3. Step 3: Cross multiply
    6,961.82x = 9,607.28 × 3,818.03
  4. Step 4: Simplify right side
    6,961.82x = 36,680,816.13
  5. Step 5: Solve for x
    x = 36,680,816.13/6,961.82
  6. Step 6: Final answer
    x = 5,268.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.