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Finding the Fourth Proportional to 9,286.16, 13,832.73 and 8,783.14

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Solution

The fourth proportional to 9,286.16, 13,832.73 and 8,783.14 is: 13,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.16 : 13,832.73 = 8,783.14 : x
  2. Step 2: Convert to fraction form
    9,286.16/13,832.73 = 8,783.14/x
  3. Step 3: Cross multiply
    9,286.16x = 13,832.73 × 8,783.14
  4. Step 4: Simplify right side
    9,286.16x = 121,494,760.26
  5. Step 5: Solve for x
    x = 121,494,760.26/9,286.16
  6. Step 6: Final answer
    x = 13,083.42

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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.