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Finding the Fourth Proportional to 6,388.18, 9,570.74 and 2,683.78

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Solution

The fourth proportional to 6,388.18, 9,570.74 and 2,683.78 is: 4,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.18 : 9,570.74 = 2,683.78 : x
  2. Step 2: Convert to fraction form
    6,388.18/9,570.74 = 2,683.78/x
  3. Step 3: Cross multiply
    6,388.18x = 9,570.74 × 2,683.78
  4. Step 4: Simplify right side
    6,388.18x = 25,685,760.60
  5. Step 5: Solve for x
    x = 25,685,760.60/6,388.18
  6. Step 6: Final answer
    x = 4,020.83

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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.