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Finding the Fourth Proportional to 9,177.72, 13,772.46 and 3,333.80

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Solution

The fourth proportional to 9,177.72, 13,772.46 and 3,333.80 is: 5,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.72 : 13,772.46 = 3,333.80 : x
  2. Step 2: Convert to fraction form
    9,177.72/13,772.46 = 3,333.80/x
  3. Step 3: Cross multiply
    9,177.72x = 13,772.46 × 3,333.80
  4. Step 4: Simplify right side
    9,177.72x = 45,914,627.15
  5. Step 5: Solve for x
    x = 45,914,627.15/9,177.72
  6. Step 6: Final answer
    x = 5,002.84

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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.