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Finding the Fourth Proportional to 9,997.36, 13,796.40 and 5,805.52

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Solution

The fourth proportional to 9,997.36, 13,796.40 and 5,805.52 is: 8,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.36 : 13,796.40 = 5,805.52 : x
  2. Step 2: Convert to fraction form
    9,997.36/13,796.40 = 5,805.52/x
  3. Step 3: Cross multiply
    9,997.36x = 13,796.40 × 5,805.52
  4. Step 4: Simplify right side
    9,997.36x = 80,095,276.13
  5. Step 5: Solve for x
    x = 80,095,276.13/9,997.36
  6. Step 6: Final answer
    x = 8,011.64

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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.