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Finding the Fourth Proportional to 8,309.88, 12,466.74 and 3,694.20

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Solution

The fourth proportional to 8,309.88, 12,466.74 and 3,694.20 is: 5,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.88 : 12,466.74 = 3,694.20 : x
  2. Step 2: Convert to fraction form
    8,309.88/12,466.74 = 3,694.20/x
  3. Step 3: Cross multiply
    8,309.88x = 12,466.74 × 3,694.20
  4. Step 4: Simplify right side
    8,309.88x = 46,054,630.91
  5. Step 5: Solve for x
    x = 46,054,630.91/8,309.88
  6. Step 6: Final answer
    x = 5,542.15

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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.