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Finding the Fourth Proportional to 6,408.12, 8,843.46 and 3,613.56

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Solution

The fourth proportional to 6,408.12, 8,843.46 and 3,613.56 is: 4,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.12 : 8,843.46 = 3,613.56 : x
  2. Step 2: Convert to fraction form
    6,408.12/8,843.46 = 3,613.56/x
  3. Step 3: Cross multiply
    6,408.12x = 8,843.46 × 3,613.56
  4. Step 4: Simplify right side
    6,408.12x = 31,956,373.32
  5. Step 5: Solve for x
    x = 31,956,373.32/6,408.12
  6. Step 6: Final answer
    x = 4,986.86

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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.