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Finding the Fourth Proportional to 6,174.20, 9,259.96 and 1,957.79

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Solution

The fourth proportional to 6,174.20, 9,259.96 and 1,957.79 is: 2,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.20 : 9,259.96 = 1,957.79 : x
  2. Step 2: Convert to fraction form
    6,174.20/9,259.96 = 1,957.79/x
  3. Step 3: Cross multiply
    6,174.20x = 9,259.96 × 1,957.79
  4. Step 4: Simplify right side
    6,174.20x = 18,129,057.09
  5. Step 5: Solve for x
    x = 18,129,057.09/6,174.20
  6. Step 6: Final answer
    x = 2,936.26

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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.