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Finding the Fourth Proportional to 6,228.11, 9,343.11 and 2,009.96

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Solution

The fourth proportional to 6,228.11, 9,343.11 and 2,009.96 is: 3,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.11 : 9,343.11 = 2,009.96 : x
  2. Step 2: Convert to fraction form
    6,228.11/9,343.11 = 2,009.96/x
  3. Step 3: Cross multiply
    6,228.11x = 9,343.11 × 2,009.96
  4. Step 4: Simplify right side
    6,228.11x = 18,779,241.24
  5. Step 5: Solve for x
    x = 18,779,241.24/6,228.11
  6. Step 6: Final answer
    x = 3,015.24

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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.