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Finding the Fourth Proportional to 6,133.97, 9,200.71 and 1,516.97

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Solution

The fourth proportional to 6,133.97, 9,200.71 and 1,516.97 is: 2,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.97 : 9,200.71 = 1,516.97 : x
  2. Step 2: Convert to fraction form
    6,133.97/9,200.71 = 1,516.97/x
  3. Step 3: Cross multiply
    6,133.97x = 9,200.71 × 1,516.97
  4. Step 4: Simplify right side
    6,133.97x = 13,957,201.05
  5. Step 5: Solve for x
    x = 13,957,201.05/6,133.97
  6. Step 6: Final answer
    x = 2,275.39

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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.