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Finding the Fourth Proportional to 6,168.72, 9,243.24 and 3,855.36

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Solution

The fourth proportional to 6,168.72, 9,243.24 and 3,855.36 is: 5,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.72 : 9,243.24 = 3,855.36 : x
  2. Step 2: Convert to fraction form
    6,168.72/9,243.24 = 3,855.36/x
  3. Step 3: Cross multiply
    6,168.72x = 9,243.24 × 3,855.36
  4. Step 4: Simplify right side
    6,168.72x = 35,636,017.77
  5. Step 5: Solve for x
    x = 35,636,017.77/6,168.72
  6. Step 6: Final answer
    x = 5,776.89

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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.