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Finding the Fourth Proportional to 6,156.79, 9,236.37 and 1,997.83

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Solution

The fourth proportional to 6,156.79, 9,236.37 and 1,997.83 is: 2,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.79 : 9,236.37 = 1,997.83 : x
  2. Step 2: Convert to fraction form
    6,156.79/9,236.37 = 1,997.83/x
  3. Step 3: Cross multiply
    6,156.79x = 9,236.37 × 1,997.83
  4. Step 4: Simplify right side
    6,156.79x = 18,452,697.08
  5. Step 5: Solve for x
    x = 18,452,697.08/6,156.79
  6. Step 6: Final answer
    x = 2,997.13

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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.