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Finding the Fourth Proportional to 6,828.69, 9,425.21 and 4,343.25

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Solution

The fourth proportional to 6,828.69, 9,425.21 and 4,343.25 is: 5,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.69 : 9,425.21 = 4,343.25 : x
  2. Step 2: Convert to fraction form
    6,828.69/9,425.21 = 4,343.25/x
  3. Step 3: Cross multiply
    6,828.69x = 9,425.21 × 4,343.25
  4. Step 4: Simplify right side
    6,828.69x = 40,936,021.62
  5. Step 5: Solve for x
    x = 40,936,021.62/6,828.69
  6. Step 6: Final answer
    x = 5,994.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.