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Finding the Fourth Proportional to 6,168.78, 9,295.74 and 5,583.96

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Solution

The fourth proportional to 6,168.78, 9,295.74 and 5,583.96 is: 8,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.78 : 9,295.74 = 5,583.96 : x
  2. Step 2: Convert to fraction form
    6,168.78/9,295.74 = 5,583.96/x
  3. Step 3: Cross multiply
    6,168.78x = 9,295.74 × 5,583.96
  4. Step 4: Simplify right side
    6,168.78x = 51,907,040.33
  5. Step 5: Solve for x
    x = 51,907,040.33/6,168.78
  6. Step 6: Final answer
    x = 8,414.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.