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Finding the Fourth Proportional to 8,194.64, 12,270.09 and 4,290.84

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Solution

The fourth proportional to 8,194.64, 12,270.09 and 4,290.84 is: 6,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.64 : 12,270.09 = 4,290.84 : x
  2. Step 2: Convert to fraction form
    8,194.64/12,270.09 = 4,290.84/x
  3. Step 3: Cross multiply
    8,194.64x = 12,270.09 × 4,290.84
  4. Step 4: Simplify right side
    8,194.64x = 52,648,992.98
  5. Step 5: Solve for x
    x = 52,648,992.98/8,194.64
  6. Step 6: Final answer
    x = 6,424.81

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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.