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Finding the Fourth Proportional to 6,078.66, 9,135.09 and 3,613.92

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Solution

The fourth proportional to 6,078.66, 9,135.09 and 3,613.92 is: 5,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.66 : 9,135.09 = 3,613.92 : x
  2. Step 2: Convert to fraction form
    6,078.66/9,135.09 = 3,613.92/x
  3. Step 3: Cross multiply
    6,078.66x = 9,135.09 × 3,613.92
  4. Step 4: Simplify right side
    6,078.66x = 33,013,484.45
  5. Step 5: Solve for x
    x = 33,013,484.45/6,078.66
  6. Step 6: Final answer
    x = 5,431.05

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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.