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Finding the Fourth Proportional to 8,137.34, 12,206.01 and 2,942

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Solution

The fourth proportional to 8,137.34, 12,206.01 and 2,942 is: 4,413

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.34 : 12,206.01 = 2,942 : x
  2. Step 2: Convert to fraction form
    8,137.34/12,206.01 = 2,942/x
  3. Step 3: Cross multiply
    8,137.34x = 12,206.01 × 2,942
  4. Step 4: Simplify right side
    8,137.34x = 35,910,081.42
  5. Step 5: Solve for x
    x = 35,910,081.42/8,137.34
  6. Step 6: Final answer
    x = 4,413

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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.