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Finding the Fourth Proportional to 6,209.66, 8,569.38 and 3,377.05

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Solution

The fourth proportional to 6,209.66, 8,569.38 and 3,377.05 is: 4,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.66 : 8,569.38 = 3,377.05 : x
  2. Step 2: Convert to fraction form
    6,209.66/8,569.38 = 3,377.05/x
  3. Step 3: Cross multiply
    6,209.66x = 8,569.38 × 3,377.05
  4. Step 4: Simplify right side
    6,209.66x = 28,939,224.73
  5. Step 5: Solve for x
    x = 28,939,224.73/6,209.66
  6. Step 6: Final answer
    x = 4,660.36

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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.