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Finding the Fourth Proportional to 6,176.77, 9,266.06 and 1,793.66

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Solution

The fourth proportional to 6,176.77, 9,266.06 and 1,793.66 is: 2,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.77 : 9,266.06 = 1,793.66 : x
  2. Step 2: Convert to fraction form
    6,176.77/9,266.06 = 1,793.66/x
  3. Step 3: Cross multiply
    6,176.77x = 9,266.06 × 1,793.66
  4. Step 4: Simplify right side
    6,176.77x = 16,620,119.33
  5. Step 5: Solve for x
    x = 16,620,119.33/6,176.77
  6. Step 6: Final answer
    x = 2,690.75

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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.