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Finding the Fourth Proportional to 9,190.65, 13,763.76 and 5,229.90

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Solution

The fourth proportional to 9,190.65, 13,763.76 and 5,229.90 is: 7,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.65 : 13,763.76 = 5,229.90 : x
  2. Step 2: Convert to fraction form
    9,190.65/13,763.76 = 5,229.90/x
  3. Step 3: Cross multiply
    9,190.65x = 13,763.76 × 5,229.90
  4. Step 4: Simplify right side
    9,190.65x = 71,983,088.42
  5. Step 5: Solve for x
    x = 71,983,088.42/9,190.65
  6. Step 6: Final answer
    x = 7,832.21

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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.