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Finding the Fourth Proportional to 6,191.42, 9,288.66 and 3,072.89

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Solution

The fourth proportional to 6,191.42, 9,288.66 and 3,072.89 is: 4,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.42 : 9,288.66 = 3,072.89 : x
  2. Step 2: Convert to fraction form
    6,191.42/9,288.66 = 3,072.89/x
  3. Step 3: Cross multiply
    6,191.42x = 9,288.66 × 3,072.89
  4. Step 4: Simplify right side
    6,191.42x = 28,542,983.98
  5. Step 5: Solve for x
    x = 28,542,983.98/6,191.42
  6. Step 6: Final answer
    x = 4,610.09

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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.