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Finding the Fourth Proportional to 9,796.66, 13,519.65 and 6,022.03

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Solution

The fourth proportional to 9,796.66, 13,519.65 and 6,022.03 is: 8,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.66 : 13,519.65 = 6,022.03 : x
  2. Step 2: Convert to fraction form
    9,796.66/13,519.65 = 6,022.03/x
  3. Step 3: Cross multiply
    9,796.66x = 13,519.65 × 6,022.03
  4. Step 4: Simplify right side
    9,796.66x = 81,415,766.72
  5. Step 5: Solve for x
    x = 81,415,766.72/9,796.66
  6. Step 6: Final answer
    x = 8,310.56

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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.