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Finding the Fourth Proportional to 9,662.90, 14,496.57 and 3,819.56

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Solution

The fourth proportional to 9,662.90, 14,496.57 and 3,819.56 is: 5,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.90 : 14,496.57 = 3,819.56 : x
  2. Step 2: Convert to fraction form
    9,662.90/14,496.57 = 3,819.56/x
  3. Step 3: Cross multiply
    9,662.90x = 14,496.57 × 3,819.56
  4. Step 4: Simplify right side
    9,662.90x = 55,370,446.43
  5. Step 5: Solve for x
    x = 55,370,446.43/9,662.90
  6. Step 6: Final answer
    x = 5,730.21

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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.