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Finding the Fourth Proportional to 9,205.13, 13,794.82 and 4,979.26

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Solution

The fourth proportional to 9,205.13, 13,794.82 and 4,979.26 is: 7,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.13 : 13,794.82 = 4,979.26 : x
  2. Step 2: Convert to fraction form
    9,205.13/13,794.82 = 4,979.26/x
  3. Step 3: Cross multiply
    9,205.13x = 13,794.82 × 4,979.26
  4. Step 4: Simplify right side
    9,205.13x = 68,687,944.18
  5. Step 5: Solve for x
    x = 68,687,944.18/9,205.13
  6. Step 6: Final answer
    x = 7,461.92

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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.