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Finding the Fourth Proportional to 6,205.80, 9,308.50 and 1,823.34

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Solution

The fourth proportional to 6,205.80, 9,308.50 and 1,823.34 is: 2,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.80 : 9,308.50 = 1,823.34 : x
  2. Step 2: Convert to fraction form
    6,205.80/9,308.50 = 1,823.34/x
  3. Step 3: Cross multiply
    6,205.80x = 9,308.50 × 1,823.34
  4. Step 4: Simplify right side
    6,205.80x = 16,972,560.39
  5. Step 5: Solve for x
    x = 16,972,560.39/6,205.80
  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.