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Finding the Fourth Proportional to 6,841.89, 9,441.92 and 4,008.59

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Solution

The fourth proportional to 6,841.89, 9,441.92 and 4,008.59 is: 5,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.89 : 9,441.92 = 4,008.59 : x
  2. Step 2: Convert to fraction form
    6,841.89/9,441.92 = 4,008.59/x
  3. Step 3: Cross multiply
    6,841.89x = 9,441.92 × 4,008.59
  4. Step 4: Simplify right side
    6,841.89x = 37,848,761.76
  5. Step 5: Solve for x
    x = 37,848,761.76/6,841.89
  6. Step 6: Final answer
    x = 5,531.91

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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.