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Finding the Fourth Proportional to 6,133.72, 9,200.59 and 2,237.22

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Solution

The fourth proportional to 6,133.72, 9,200.59 and 2,237.22 is: 3,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.72 : 9,200.59 = 2,237.22 : x
  2. Step 2: Convert to fraction form
    6,133.72/9,200.59 = 2,237.22/x
  3. Step 3: Cross multiply
    6,133.72x = 9,200.59 × 2,237.22
  4. Step 4: Simplify right side
    6,133.72x = 20,583,743.96
  5. Step 5: Solve for x
    x = 20,583,743.96/6,133.72
  6. Step 6: Final answer
    x = 3,355.83

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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.