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Finding the Fourth Proportional to 9,997.02, 13,796.73 and 5,805.18

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Solution

The fourth proportional to 9,997.02, 13,796.73 and 5,805.18 is: 8,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.02 : 13,796.73 = 5,805.18 : x
  2. Step 2: Convert to fraction form
    9,997.02/13,796.73 = 5,805.18/x
  3. Step 3: Cross multiply
    9,997.02x = 13,796.73 × 5,805.18
  4. Step 4: Simplify right side
    9,997.02x = 80,092,501.06
  5. Step 5: Solve for x
    x = 80,092,501.06/9,997.02
  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.