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Finding the Fourth Proportional to 9,084.52, 13,632.03 and 3,819.11

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Solution

The fourth proportional to 9,084.52, 13,632.03 and 3,819.11 is: 5,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.52 : 13,632.03 = 3,819.11 : x
  2. Step 2: Convert to fraction form
    9,084.52/13,632.03 = 3,819.11/x
  3. Step 3: Cross multiply
    9,084.52x = 13,632.03 × 3,819.11
  4. Step 4: Simplify right side
    9,084.52x = 52,062,222.09
  5. Step 5: Solve for x
    x = 52,062,222.09/9,084.52
  6. Step 6: Final answer
    x = 5,730.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.