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Finding the Fourth Proportional to 6,205.41, 9,310.14 and 1,822.91

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Solution

The fourth proportional to 6,205.41, 9,310.14 and 1,822.91 is: 2,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.41 : 9,310.14 = 1,822.91 : x
  2. Step 2: Convert to fraction form
    6,205.41/9,310.14 = 1,822.91/x
  3. Step 3: Cross multiply
    6,205.41x = 9,310.14 × 1,822.91
  4. Step 4: Simplify right side
    6,205.41x = 16,971,500.76
  5. Step 5: Solve for x
    x = 16,971,500.76/6,205.41
  6. Step 6: Final answer
    x = 2,734.95

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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.