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Finding the Fourth Proportional to 6,205.73, 9,310.13 and 3,087.22

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Solution

The fourth proportional to 6,205.73, 9,310.13 and 3,087.22 is: 4,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.73 : 9,310.13 = 3,087.22 : x
  2. Step 2: Convert to fraction form
    6,205.73/9,310.13 = 3,087.22/x
  3. Step 3: Cross multiply
    6,205.73x = 9,310.13 × 3,087.22
  4. Step 4: Simplify right side
    6,205.73x = 28,742,419.54
  5. Step 5: Solve for x
    x = 28,742,419.54/6,205.73
  6. Step 6: Final answer
    x = 4,631.59

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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.