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Finding the Fourth Proportional to 6,611.67, 9,924.80 and 3,841.47

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Solution

The fourth proportional to 6,611.67, 9,924.80 and 3,841.47 is: 5,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.67 : 9,924.80 = 3,841.47 : x
  2. Step 2: Convert to fraction form
    6,611.67/9,924.80 = 3,841.47/x
  3. Step 3: Cross multiply
    6,611.67x = 9,924.80 × 3,841.47
  4. Step 4: Simplify right side
    6,611.67x = 38,125,802.25
  5. Step 5: Solve for x
    x = 38,125,802.25/6,611.67
  6. Step 6: Final answer
    x = 5,766.44

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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.