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Finding the Fourth Proportional to 9,026.26, 13,544.24 and 3,764.90

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Solution

The fourth proportional to 9,026.26, 13,544.24 and 3,764.90 is: 5,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.26 : 13,544.24 = 3,764.90 : x
  2. Step 2: Convert to fraction form
    9,026.26/13,544.24 = 3,764.90/x
  3. Step 3: Cross multiply
    9,026.26x = 13,544.24 × 3,764.90
  4. Step 4: Simplify right side
    9,026.26x = 50,992,709.18
  5. Step 5: Solve for x
    x = 50,992,709.18/9,026.26
  6. Step 6: Final answer
    x = 5,649.37

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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.