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Finding the Fourth Proportional to 9,112.60, 13,662.07 and 3,853.78

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Solution

The fourth proportional to 9,112.60, 13,662.07 and 3,853.78 is: 5,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.60 : 13,662.07 = 3,853.78 : x
  2. Step 2: Convert to fraction form
    9,112.60/13,662.07 = 3,853.78/x
  3. Step 3: Cross multiply
    9,112.60x = 13,662.07 × 3,853.78
  4. Step 4: Simplify right side
    9,112.60x = 52,650,568.33
  5. Step 5: Solve for x
    x = 52,650,568.33/9,112.60
  6. Step 6: Final answer
    x = 5,777.78

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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.