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Finding the Fourth Proportional to 6,670.38, 9,205.71 and 3,876.78

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Solution

The fourth proportional to 6,670.38, 9,205.71 and 3,876.78 is: 5,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.38 : 9,205.71 = 3,876.78 : x
  2. Step 2: Convert to fraction form
    6,670.38/9,205.71 = 3,876.78/x
  3. Step 3: Cross multiply
    6,670.38x = 9,205.71 × 3,876.78
  4. Step 4: Simplify right side
    6,670.38x = 35,688,512.41
  5. Step 5: Solve for x
    x = 35,688,512.41/6,670.38
  6. Step 6: Final answer
    x = 5,350.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.