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Finding the Fourth Proportional to 6,424.01, 9,635.15 and 1,744.34

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Solution

The fourth proportional to 6,424.01, 9,635.15 and 1,744.34 is: 2,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.01 : 9,635.15 = 1,744.34 : x
  2. Step 2: Convert to fraction form
    6,424.01/9,635.15 = 1,744.34/x
  3. Step 3: Cross multiply
    6,424.01x = 9,635.15 × 1,744.34
  4. Step 4: Simplify right side
    6,424.01x = 16,806,933.74
  5. Step 5: Solve for x
    x = 16,806,933.74/6,424.01
  6. Step 6: Final answer
    x = 2,616.27

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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.