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Finding the Fourth Proportional to 9,257.44, 13,879.68 and 3,412.48

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Solution

The fourth proportional to 9,257.44, 13,879.68 and 3,412.48 is: 5,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.44 : 13,879.68 = 3,412.48 : x
  2. Step 2: Convert to fraction form
    9,257.44/13,879.68 = 3,412.48/x
  3. Step 3: Cross multiply
    9,257.44x = 13,879.68 × 3,412.48
  4. Step 4: Simplify right side
    9,257.44x = 47,364,130.41
  5. Step 5: Solve for x
    x = 47,364,130.41/9,257.44
  6. Step 6: Final answer
    x = 5,116.33

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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.