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Finding the Fourth Proportional to 9,609.35, 13,269.17 and 6,078.83

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Solution

The fourth proportional to 9,609.35, 13,269.17 and 6,078.83 is: 8,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.35 : 13,269.17 = 6,078.83 : x
  2. Step 2: Convert to fraction form
    9,609.35/13,269.17 = 6,078.83/x
  3. Step 3: Cross multiply
    9,609.35x = 13,269.17 × 6,078.83
  4. Step 4: Simplify right side
    9,609.35x = 80,661,028.67
  5. Step 5: Solve for x
    x = 80,661,028.67/9,609.35
  6. Step 6: Final answer
    x = 8,394.02

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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.