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Finding the Fourth Proportional to 6,177.32, 9,266.49 and 1,794.77

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Solution

The fourth proportional to 6,177.32, 9,266.49 and 1,794.77 is: 2,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.32 : 9,266.49 = 1,794.77 : x
  2. Step 2: Convert to fraction form
    6,177.32/9,266.49 = 1,794.77/x
  3. Step 3: Cross multiply
    6,177.32x = 9,266.49 × 1,794.77
  4. Step 4: Simplify right side
    6,177.32x = 16,631,234.69
  5. Step 5: Solve for x
    x = 16,631,234.69/6,177.32
  6. Step 6: Final answer
    x = 2,692.31

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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.