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Finding the Fourth Proportional to 8,137.84, 12,206.70 and 2,294.42

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Solution

The fourth proportional to 8,137.84, 12,206.70 and 2,294.42 is: 3,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.84 : 12,206.70 = 2,294.42 : x
  2. Step 2: Convert to fraction form
    8,137.84/12,206.70 = 2,294.42/x
  3. Step 3: Cross multiply
    8,137.84x = 12,206.70 × 2,294.42
  4. Step 4: Simplify right side
    8,137.84x = 28,007,296.61
  5. Step 5: Solve for x
    x = 28,007,296.61/8,137.84
  6. Step 6: Final answer
    x = 3,441.61

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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.