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Finding the Fourth Proportional to 9,078.80, 12,525.48 and 5,936.78

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Solution

The fourth proportional to 9,078.80, 12,525.48 and 5,936.78 is: 8,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.80 : 12,525.48 = 5,936.78 : x
  2. Step 2: Convert to fraction form
    9,078.80/12,525.48 = 5,936.78/x
  3. Step 3: Cross multiply
    9,078.80x = 12,525.48 × 5,936.78
  4. Step 4: Simplify right side
    9,078.80x = 74,361,019.15
  5. Step 5: Solve for x
    x = 74,361,019.15/9,078.80
  6. Step 6: Final answer
    x = 8,190.62

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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.