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Finding the Fourth Proportional to 6,156.81, 9,241.38 and 2,872.22

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Solution

The fourth proportional to 6,156.81, 9,241.38 and 2,872.22 is: 4,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.81 : 9,241.38 = 2,872.22 : x
  2. Step 2: Convert to fraction form
    6,156.81/9,241.38 = 2,872.22/x
  3. Step 3: Cross multiply
    6,156.81x = 9,241.38 × 2,872.22
  4. Step 4: Simplify right side
    6,156.81x = 26,543,230.26
  5. Step 5: Solve for x
    x = 26,543,230.26/6,156.81
  6. Step 6: Final answer
    x = 4,311.20

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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.