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Finding the Fourth Proportional to 9,252.42, 13,879.26 and 3,409.44

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Solution

The fourth proportional to 9,252.42, 13,879.26 and 3,409.44 is: 5,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.42 : 13,879.26 = 3,409.44 : x
  2. Step 2: Convert to fraction form
    9,252.42/13,879.26 = 3,409.44/x
  3. Step 3: Cross multiply
    9,252.42x = 13,879.26 × 3,409.44
  4. Step 4: Simplify right side
    9,252.42x = 47,320,504.21
  5. Step 5: Solve for x
    x = 47,320,504.21/9,252.42
  6. Step 6: Final answer
    x = 5,114.39

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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.