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Finding the Fourth Proportional to 9,074.64, 13,614.20 and 3,230.80

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Solution

The fourth proportional to 9,074.64, 13,614.20 and 3,230.80 is: 4,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.64 : 13,614.20 = 3,230.80 : x
  2. Step 2: Convert to fraction form
    9,074.64/13,614.20 = 3,230.80/x
  3. Step 3: Cross multiply
    9,074.64x = 13,614.20 × 3,230.80
  4. Step 4: Simplify right side
    9,074.64x = 43,984,757.36
  5. Step 5: Solve for x
    x = 43,984,757.36/9,074.64
  6. Step 6: Final answer
    x = 4,847.00

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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.