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Finding the Fourth Proportional to 9,476.33, 14,226.79 and 7,286.59

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Solution

The fourth proportional to 9,476.33, 14,226.79 and 7,286.59 is: 10,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.33 : 14,226.79 = 7,286.59 : x
  2. Step 2: Convert to fraction form
    9,476.33/14,226.79 = 7,286.59/x
  3. Step 3: Cross multiply
    9,476.33x = 14,226.79 × 7,286.59
  4. Step 4: Simplify right side
    9,476.33x = 103,664,785.75
  5. Step 5: Solve for x
    x = 103,664,785.75/9,476.33
  6. Step 6: Final answer
    x = 10,939.34

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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.