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Finding the Fourth Proportional to 9,193.05, 12,687.73 and 5,160.31

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Solution

The fourth proportional to 9,193.05, 12,687.73 and 5,160.31 is: 7,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.05 : 12,687.73 = 5,160.31 : x
  2. Step 2: Convert to fraction form
    9,193.05/12,687.73 = 5,160.31/x
  3. Step 3: Cross multiply
    9,193.05x = 12,687.73 × 5,160.31
  4. Step 4: Simplify right side
    9,193.05x = 65,472,620.00
  5. Step 5: Solve for x
    x = 65,472,620.00/9,193.05
  6. Step 6: Final answer
    x = 7,121.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.