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Finding the Fourth Proportional to 9,796.92, 13,513.59 and 5,815.23

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Solution

The fourth proportional to 9,796.92, 13,513.59 and 5,815.23 is: 8,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.92 : 13,513.59 = 5,815.23 : x
  2. Step 2: Convert to fraction form
    9,796.92/13,513.59 = 5,815.23/x
  3. Step 3: Cross multiply
    9,796.92x = 13,513.59 × 5,815.23
  4. Step 4: Simplify right side
    9,796.92x = 78,584,633.98
  5. Step 5: Solve for x
    x = 78,584,633.98/9,796.92
  6. Step 6: Final answer
    x = 8,021.36

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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.