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Finding the Fourth Proportional to 6,386.27, 9,573.73 and 2,489.76

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Solution

The fourth proportional to 6,386.27, 9,573.73 and 2,489.76 is: 3,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.27 : 9,573.73 = 2,489.76 : x
  2. Step 2: Convert to fraction form
    6,386.27/9,573.73 = 2,489.76/x
  3. Step 3: Cross multiply
    6,386.27x = 9,573.73 × 2,489.76
  4. Step 4: Simplify right side
    6,386.27x = 23,836,283.78
  5. Step 5: Solve for x
    x = 23,836,283.78/6,386.27
  6. Step 6: Final answer
    x = 3,732.43

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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.