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Finding the Fourth Proportional to 6,412.41, 9,618.44 and 3,496.41

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Solution

The fourth proportional to 6,412.41, 9,618.44 and 3,496.41 is: 5,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.41 : 9,618.44 = 3,496.41 : x
  2. Step 2: Convert to fraction form
    6,412.41/9,618.44 = 3,496.41/x
  3. Step 3: Cross multiply
    6,412.41x = 9,618.44 × 3,496.41
  4. Step 4: Simplify right side
    6,412.41x = 33,629,992.32
  5. Step 5: Solve for x
    x = 33,629,992.32/6,412.41
  6. Step 6: Final answer
    x = 5,244.52

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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.