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Finding the Fourth Proportional to 9,208.92, 13,813.28 and 3,939.46

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Solution

The fourth proportional to 9,208.92, 13,813.28 and 3,939.46 is: 5,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.92 : 13,813.28 = 3,939.46 : x
  2. Step 2: Convert to fraction form
    9,208.92/13,813.28 = 3,939.46/x
  3. Step 3: Cross multiply
    9,208.92x = 13,813.28 × 3,939.46
  4. Step 4: Simplify right side
    9,208.92x = 54,416,864.03
  5. Step 5: Solve for x
    x = 54,416,864.03/9,208.92
  6. Step 6: Final answer
    x = 5,909.15

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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.