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Finding the Fourth Proportional to 9,166.92, 13,740.13 and 3,900.35

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Solution

The fourth proportional to 9,166.92, 13,740.13 and 3,900.35 is: 5,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.92 : 13,740.13 = 3,900.35 : x
  2. Step 2: Convert to fraction form
    9,166.92/13,740.13 = 3,900.35/x
  3. Step 3: Cross multiply
    9,166.92x = 13,740.13 × 3,900.35
  4. Step 4: Simplify right side
    9,166.92x = 53,591,355.27
  5. Step 5: Solve for x
    x = 53,591,355.27/9,166.92
  6. Step 6: Final answer
    x = 5,846.17

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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.