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Finding the Fourth Proportional to 6,280.88, 9,414.71 and 2,119.43

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Solution

The fourth proportional to 6,280.88, 9,414.71 and 2,119.43 is: 3,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.88 : 9,414.71 = 2,119.43 : x
  2. Step 2: Convert to fraction form
    6,280.88/9,414.71 = 2,119.43/x
  3. Step 3: Cross multiply
    6,280.88x = 9,414.71 × 2,119.43
  4. Step 4: Simplify right side
    6,280.88x = 19,953,761.14
  5. Step 5: Solve for x
    x = 19,953,761.14/6,280.88
  6. Step 6: Final answer
    x = 3,176.91

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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.