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Finding the Fourth Proportional to 6,611.74, 9,124.15 and 3,818.78

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Solution

The fourth proportional to 6,611.74, 9,124.15 and 3,818.78 is: 5,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.74 : 9,124.15 = 3,818.78 : x
  2. Step 2: Convert to fraction form
    6,611.74/9,124.15 = 3,818.78/x
  3. Step 3: Cross multiply
    6,611.74x = 9,124.15 × 3,818.78
  4. Step 4: Simplify right side
    6,611.74x = 34,843,121.54
  5. Step 5: Solve for x
    x = 34,843,121.54/6,611.74
  6. Step 6: Final answer
    x = 5,269.89

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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.