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Finding the Fourth Proportional to 6,158.73, 9,235.70 and 1,997.73

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Solution

The fourth proportional to 6,158.73, 9,235.70 and 1,997.73 is: 2,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.73 : 9,235.70 = 1,997.73 : x
  2. Step 2: Convert to fraction form
    6,158.73/9,235.70 = 1,997.73/x
  3. Step 3: Cross multiply
    6,158.73x = 9,235.70 × 1,997.73
  4. Step 4: Simplify right side
    6,158.73x = 18,450,441.51
  5. Step 5: Solve for x
    x = 18,450,441.51/6,158.73
  6. Step 6: Final answer
    x = 2,995.82

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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.