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Finding the Fourth Proportional to 9,228.84, 13,763.81 and 7,850.92

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Solution

The fourth proportional to 9,228.84, 13,763.81 and 7,850.92 is: 11,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.84 : 13,763.81 = 7,850.92 : x
  2. Step 2: Convert to fraction form
    9,228.84/13,763.81 = 7,850.92/x
  3. Step 3: Cross multiply
    9,228.84x = 13,763.81 × 7,850.92
  4. Step 4: Simplify right side
    9,228.84x = 108,058,571.21
  5. Step 5: Solve for x
    x = 108,058,571.21/9,228.84
  6. Step 6: Final answer
    x = 11,708.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.