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Finding the Fourth Proportional to 6,349.62, 9,525.34 and 1,967.42

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Solution

The fourth proportional to 6,349.62, 9,525.34 and 1,967.42 is: 2,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.62 : 9,525.34 = 1,967.42 : x
  2. Step 2: Convert to fraction form
    6,349.62/9,525.34 = 1,967.42/x
  3. Step 3: Cross multiply
    6,349.62x = 9,525.34 × 1,967.42
  4. Step 4: Simplify right side
    6,349.62x = 18,740,344.42
  5. Step 5: Solve for x
    x = 18,740,344.42/6,349.62
  6. Step 6: Final answer
    x = 2,951.41

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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.