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Finding the Fourth Proportional to 9,796.71, 13,517.88 and 6,018.66

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Solution

The fourth proportional to 9,796.71, 13,517.88 and 6,018.66 is: 8,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.71 : 13,517.88 = 6,018.66 : x
  2. Step 2: Convert to fraction form
    9,796.71/13,517.88 = 6,018.66/x
  3. Step 3: Cross multiply
    9,796.71x = 13,517.88 × 6,018.66
  4. Step 4: Simplify right side
    9,796.71x = 81,359,523.64
  5. Step 5: Solve for x
    x = 81,359,523.64/9,796.71
  6. Step 6: Final answer
    x = 8,304.78

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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.