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Finding the Fourth Proportional to 6,205.23, 9,307.17 and 1,822.73

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Solution

The fourth proportional to 6,205.23, 9,307.17 and 1,822.73 is: 2,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.23 : 9,307.17 = 1,822.73 : x
  2. Step 2: Convert to fraction form
    6,205.23/9,307.17 = 1,822.73/x
  3. Step 3: Cross multiply
    6,205.23x = 9,307.17 × 1,822.73
  4. Step 4: Simplify right side
    6,205.23x = 16,964,411.44
  5. Step 5: Solve for x
    x = 16,964,411.44/6,205.23
  6. Step 6: Final answer
    x = 2,733.89

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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.