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Finding the Fourth Proportional to 9,231.62, 13,851.69 and 5,725.74

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Solution

The fourth proportional to 9,231.62, 13,851.69 and 5,725.74 is: 8,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.62 : 13,851.69 = 5,725.74 : x
  2. Step 2: Convert to fraction form
    9,231.62/13,851.69 = 5,725.74/x
  3. Step 3: Cross multiply
    9,231.62x = 13,851.69 × 5,725.74
  4. Step 4: Simplify right side
    9,231.62x = 79,311,154.03
  5. Step 5: Solve for x
    x = 79,311,154.03/9,231.62
  6. Step 6: Final answer
    x = 8,591.25

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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.