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Finding the Fourth Proportional to 6,400.14, 9,592.89 and 2,696.82

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Solution

The fourth proportional to 6,400.14, 9,592.89 and 2,696.82 is: 4,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.14 : 9,592.89 = 2,696.82 : x
  2. Step 2: Convert to fraction form
    6,400.14/9,592.89 = 2,696.82/x
  3. Step 3: Cross multiply
    6,400.14x = 9,592.89 × 2,696.82
  4. Step 4: Simplify right side
    6,400.14x = 25,870,297.61
  5. Step 5: Solve for x
    x = 25,870,297.61/6,400.14
  6. Step 6: Final answer
    x = 4,042.15

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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.