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Finding the Fourth Proportional to 29,286.07, 43,936.05 and 9,564.59

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Solution

The fourth proportional to 29,286.07, 43,936.05 and 9,564.59 is: 14,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.07 : 43,936.05 = 9,564.59 : x
  2. Step 2: Convert to fraction form
    29,286.07/43,936.05 = 9,564.59/x
  3. Step 3: Cross multiply
    29,286.07x = 43,936.05 × 9,564.59
  4. Step 4: Simplify right side
    29,286.07x = 420,230,304.47
  5. Step 5: Solve for x
    x = 420,230,304.47/29,286.07
  6. Step 6: Final answer
    x = 14,349.15

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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.