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Finding the Fourth Proportional to 6,408.42, 9,611.82 and 5,319.78

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Solution

The fourth proportional to 6,408.42, 9,611.82 and 5,319.78 is: 7,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.42 : 9,611.82 = 5,319.78 : x
  2. Step 2: Convert to fraction form
    6,408.42/9,611.82 = 5,319.78/x
  3. Step 3: Cross multiply
    6,408.42x = 9,611.82 × 5,319.78
  4. Step 4: Simplify right side
    6,408.42x = 51,132,767.80
  5. Step 5: Solve for x
    x = 51,132,767.80/6,408.42
  6. Step 6: Final answer
    x = 7,979.00

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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.