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Finding the Fourth Proportional to 6,424.09, 9,636.78 and 1,744.17

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Solution

The fourth proportional to 6,424.09, 9,636.78 and 1,744.17 is: 2,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.09 : 9,636.78 = 1,744.17 : x
  2. Step 2: Convert to fraction form
    6,424.09/9,636.78 = 1,744.17/x
  3. Step 3: Cross multiply
    6,424.09x = 9,636.78 × 1,744.17
  4. Step 4: Simplify right side
    6,424.09x = 16,808,173.85
  5. Step 5: Solve for x
    x = 16,808,173.85/6,424.09
  6. Step 6: Final answer
    x = 2,616.43

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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.