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Finding the Fourth Proportional to 6,123.98, 9,184.77 and 2,613.30

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Solution

The fourth proportional to 6,123.98, 9,184.77 and 2,613.30 is: 3,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.98 : 9,184.77 = 2,613.30 : x
  2. Step 2: Convert to fraction form
    6,123.98/9,184.77 = 2,613.30/x
  3. Step 3: Cross multiply
    6,123.98x = 9,184.77 × 2,613.30
  4. Step 4: Simplify right side
    6,123.98x = 24,002,559.44
  5. Step 5: Solve for x
    x = 24,002,559.44/6,123.98
  6. Step 6: Final answer
    x = 3,919.44

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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.