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Finding the Fourth Proportional to 9,192.36, 13,786.08 and 3,997

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Solution

The fourth proportional to 9,192.36, 13,786.08 and 3,997 is: 5,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.36 : 13,786.08 = 3,997 : x
  2. Step 2: Convert to fraction form
    9,192.36/13,786.08 = 3,997/x
  3. Step 3: Cross multiply
    9,192.36x = 13,786.08 × 3,997
  4. Step 4: Simplify right side
    9,192.36x = 55,102,961.76
  5. Step 5: Solve for x
    x = 55,102,961.76/9,192.36
  6. Step 6: Final answer
    x = 5,994.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.