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Finding the Fourth Proportional to 6,366.83, 9,546.82 and 2,205.61

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Solution

The fourth proportional to 6,366.83, 9,546.82 and 2,205.61 is: 3,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.83 : 9,546.82 = 2,205.61 : x
  2. Step 2: Convert to fraction form
    6,366.83/9,546.82 = 2,205.61/x
  3. Step 3: Cross multiply
    6,366.83x = 9,546.82 × 2,205.61
  4. Step 4: Simplify right side
    6,366.83x = 21,056,532.28
  5. Step 5: Solve for x
    x = 21,056,532.28/6,366.83
  6. Step 6: Final answer
    x = 3,307.23

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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.