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Finding the Fourth Proportional to 6,401.42, 8,835.63 and 4,169.42

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Solution

The fourth proportional to 6,401.42, 8,835.63 and 4,169.42 is: 5,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.42 : 8,835.63 = 4,169.42 : x
  2. Step 2: Convert to fraction form
    6,401.42/8,835.63 = 4,169.42/x
  3. Step 3: Cross multiply
    6,401.42x = 8,835.63 × 4,169.42
  4. Step 4: Simplify right side
    6,401.42x = 36,839,452.43
  5. Step 5: Solve for x
    x = 36,839,452.43/6,401.42
  6. Step 6: Final answer
    x = 5,754.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.