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Finding the Fourth Proportional to 8,194.65, 12,292.61 and 2,930.78

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Solution

The fourth proportional to 8,194.65, 12,292.61 and 2,930.78 is: 4,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.65 : 12,292.61 = 2,930.78 : x
  2. Step 2: Convert to fraction form
    8,194.65/12,292.61 = 2,930.78/x
  3. Step 3: Cross multiply
    8,194.65x = 12,292.61 × 2,930.78
  4. Step 4: Simplify right side
    8,194.65x = 36,026,859.42
  5. Step 5: Solve for x
    x = 36,026,859.42/8,194.65
  6. Step 6: Final answer
    x = 4,396.39

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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.