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Finding the Fourth Proportional to 6,164.12, 9,243.90 and 2,003.06

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Solution

The fourth proportional to 6,164.12, 9,243.90 and 2,003.06 is: 3,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.12 : 9,243.90 = 2,003.06 : x
  2. Step 2: Convert to fraction form
    6,164.12/9,243.90 = 2,003.06/x
  3. Step 3: Cross multiply
    6,164.12x = 9,243.90 × 2,003.06
  4. Step 4: Simplify right side
    6,164.12x = 18,516,086.33
  5. Step 5: Solve for x
    x = 18,516,086.33/6,164.12
  6. Step 6: Final answer
    x = 3,003.85

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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.