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Finding the Fourth Proportional to 6,516.33, 9,772.98 and 3,884.57

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Solution

The fourth proportional to 6,516.33, 9,772.98 and 3,884.57 is: 5,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.33 : 9,772.98 = 3,884.57 : x
  2. Step 2: Convert to fraction form
    6,516.33/9,772.98 = 3,884.57/x
  3. Step 3: Cross multiply
    6,516.33x = 9,772.98 × 3,884.57
  4. Step 4: Simplify right side
    6,516.33x = 37,963,819.99
  5. Step 5: Solve for x
    x = 37,963,819.99/6,516.33
  6. Step 6: Final answer
    x = 5,825.95

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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.