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Finding the Fourth Proportional to 9,190.64, 13,763.76 and 5,229.90

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Solution

The fourth proportional to 9,190.64, 13,763.76 and 5,229.90 is: 7,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.64 : 13,763.76 = 5,229.90 : x
  2. Step 2: Convert to fraction form
    9,190.64/13,763.76 = 5,229.90/x
  3. Step 3: Cross multiply
    9,190.64x = 13,763.76 × 5,229.90
  4. Step 4: Simplify right side
    9,190.64x = 71,983,124.04
  5. Step 5: Solve for x
    x = 71,983,124.04/9,190.64
  6. Step 6: Final answer
    x = 7,832.22

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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.