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Finding the Fourth Proportional to 9,190.90, 13,764.14 and 5,230.15

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Solution

The fourth proportional to 9,190.90, 13,764.14 and 5,230.15 is: 7,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.90 : 13,764.14 = 5,230.15 : x
  2. Step 2: Convert to fraction form
    9,190.90/13,764.14 = 5,230.15/x
  3. Step 3: Cross multiply
    9,190.90x = 13,764.14 × 5,230.15
  4. Step 4: Simplify right side
    9,190.90x = 71,988,516.82
  5. Step 5: Solve for x
    x = 71,988,516.82/9,190.90
  6. Step 6: Final answer
    x = 7,832.59

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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.