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Finding the Fourth Proportional to 9,796.58, 13,517.96 and 5,816.92

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Solution

The fourth proportional to 9,796.58, 13,517.96 and 5,816.92 is: 8,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.58 : 13,517.96 = 5,816.92 : x
  2. Step 2: Convert to fraction form
    9,796.58/13,517.96 = 5,816.92/x
  3. Step 3: Cross multiply
    9,796.58x = 13,517.96 × 5,816.92
  4. Step 4: Simplify right side
    9,796.58x = 78,632,891.88
  5. Step 5: Solve for x
    x = 78,632,891.88/9,796.58
  6. Step 6: Final answer
    x = 8,026.57

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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.