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Finding the Fourth Proportional to 31,864.69, 47,797.09 and 9,678.22

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Solution

The fourth proportional to 31,864.69, 47,797.09 and 9,678.22 is: 14,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.69 : 47,797.09 = 9,678.22 : x
  2. Step 2: Convert to fraction form
    31,864.69/47,797.09 = 9,678.22/x
  3. Step 3: Cross multiply
    31,864.69x = 47,797.09 × 9,678.22
  4. Step 4: Simplify right side
    31,864.69x = 462,590,608.69
  5. Step 5: Solve for x
    x = 462,590,608.69/31,864.69
  6. Step 6: Final answer
    x = 14,517.34

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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.