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Finding the Fourth Proportional to 9,621.68, 14,433.96 and 8,380.16

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Solution

The fourth proportional to 9,621.68, 14,433.96 and 8,380.16 is: 12,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.68 : 14,433.96 = 8,380.16 : x
  2. Step 2: Convert to fraction form
    9,621.68/14,433.96 = 8,380.16/x
  3. Step 3: Cross multiply
    9,621.68x = 14,433.96 × 8,380.16
  4. Step 4: Simplify right side
    9,621.68x = 120,958,894.23
  5. Step 5: Solve for x
    x = 120,958,894.23/9,621.68
  6. Step 6: Final answer
    x = 12,571.49

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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.