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Finding the Fourth Proportional to 8,902.62, 13,353.78 and 3,636.47

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Solution

The fourth proportional to 8,902.62, 13,353.78 and 3,636.47 is: 5,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.62 : 13,353.78 = 3,636.47 : x
  2. Step 2: Convert to fraction form
    8,902.62/13,353.78 = 3,636.47/x
  3. Step 3: Cross multiply
    8,902.62x = 13,353.78 × 3,636.47
  4. Step 4: Simplify right side
    8,902.62x = 48,560,653.74
  5. Step 5: Solve for x
    x = 48,560,653.74/8,902.62
  6. Step 6: Final answer
    x = 5,454.65

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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.