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Finding the Fourth Proportional to 6,199.62, 9,291.22 and 4,548.42

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Solution

The fourth proportional to 6,199.62, 9,291.22 and 4,548.42 is: 6,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.62 : 9,291.22 = 4,548.42 : x
  2. Step 2: Convert to fraction form
    6,199.62/9,291.22 = 4,548.42/x
  3. Step 3: Cross multiply
    6,199.62x = 9,291.22 × 4,548.42
  4. Step 4: Simplify right side
    6,199.62x = 42,260,370.87
  5. Step 5: Solve for x
    x = 42,260,370.87/6,199.62
  6. Step 6: Final answer
    x = 6,816.61

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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.