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Finding the Fourth Proportional to 6,205.71, 9,308.66 and 1,823.28

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Solution

The fourth proportional to 6,205.71, 9,308.66 and 1,823.28 is: 2,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.71 : 9,308.66 = 1,823.28 : x
  2. Step 2: Convert to fraction form
    6,205.71/9,308.66 = 1,823.28/x
  3. Step 3: Cross multiply
    6,205.71x = 9,308.66 × 1,823.28
  4. Step 4: Simplify right side
    6,205.71x = 16,972,249.58
  5. Step 5: Solve for x
    x = 16,972,249.58/6,205.71
  6. Step 6: Final answer
    x = 2,734.94

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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.