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Finding the Fourth Proportional to 6,412.09, 9,616.92 and 2,251.12

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Solution

The fourth proportional to 6,412.09, 9,616.92 and 2,251.12 is: 3,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.09 : 9,616.92 = 2,251.12 : x
  2. Step 2: Convert to fraction form
    6,412.09/9,616.92 = 2,251.12/x
  3. Step 3: Cross multiply
    6,412.09x = 9,616.92 × 2,251.12
  4. Step 4: Simplify right side
    6,412.09x = 21,648,808.47
  5. Step 5: Solve for x
    x = 21,648,808.47/6,412.09
  6. Step 6: Final answer
    x = 3,376.25

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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.