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Finding the Fourth Proportional to 8,459.20, 12,686.86 and 3,194.77

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Solution

The fourth proportional to 8,459.20, 12,686.86 and 3,194.77 is: 4,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.20 : 12,686.86 = 3,194.77 : x
  2. Step 2: Convert to fraction form
    8,459.20/12,686.86 = 3,194.77/x
  3. Step 3: Cross multiply
    8,459.20x = 12,686.86 × 3,194.77
  4. Step 4: Simplify right side
    8,459.20x = 40,531,599.72
  5. Step 5: Solve for x
    x = 40,531,599.72/8,459.20
  6. Step 6: Final answer
    x = 4,791.42

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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.