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Finding the Fourth Proportional to 35,997.97, 53,996.82 and 9,705.37

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Solution

The fourth proportional to 35,997.97, 53,996.82 and 9,705.37 is: 14,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.97 : 53,996.82 = 9,705.37 : x
  2. Step 2: Convert to fraction form
    35,997.97/53,996.82 = 9,705.37/x
  3. Step 3: Cross multiply
    35,997.97x = 53,996.82 × 9,705.37
  4. Step 4: Simplify right side
    35,997.97x = 524,059,116.92
  5. Step 5: Solve for x
    x = 524,059,116.92/35,997.97
  6. Step 6: Final answer
    x = 14,558.02

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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.