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Finding the Fourth Proportional to 9,286.66, 13,833.47 and 8,783.64

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Solution

The fourth proportional to 9,286.66, 13,833.47 and 8,783.64 is: 13,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.66 : 13,833.47 = 8,783.64 : x
  2. Step 2: Convert to fraction form
    9,286.66/13,833.47 = 8,783.64/x
  3. Step 3: Cross multiply
    9,286.66x = 13,833.47 × 8,783.64
  4. Step 4: Simplify right side
    9,286.66x = 121,508,220.43
  5. Step 5: Solve for x
    x = 121,508,220.43/9,286.66
  6. Step 6: Final answer
    x = 13,084.17

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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.