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Finding the Fourth Proportional to 6,205.08, 9,308.54 and 1,821.97

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Solution

The fourth proportional to 6,205.08, 9,308.54 and 1,821.97 is: 2,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.08 : 9,308.54 = 1,821.97 : x
  2. Step 2: Convert to fraction form
    6,205.08/9,308.54 = 1,821.97/x
  3. Step 3: Cross multiply
    6,205.08x = 9,308.54 × 1,821.97
  4. Step 4: Simplify right side
    6,205.08x = 16,959,848.24
  5. Step 5: Solve for x
    x = 16,959,848.24/6,205.08
  6. Step 6: Final answer
    x = 2,733.22

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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.