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Finding the Fourth Proportional to 6,177.41, 9,264.87 and 2,280.89

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Solution

The fourth proportional to 6,177.41, 9,264.87 and 2,280.89 is: 3,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.41 : 9,264.87 = 2,280.89 : x
  2. Step 2: Convert to fraction form
    6,177.41/9,264.87 = 2,280.89/x
  3. Step 3: Cross multiply
    6,177.41x = 9,264.87 × 2,280.89
  4. Step 4: Simplify right side
    6,177.41x = 21,132,149.33
  5. Step 5: Solve for x
    x = 21,132,149.33/6,177.41
  6. Step 6: Final answer
    x = 3,420.88

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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.