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Finding the Fourth Proportional to 6,209.81, 8,569.55 and 3,377.20

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Solution

The fourth proportional to 6,209.81, 8,569.55 and 3,377.20 is: 4,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.81 : 8,569.55 = 3,377.20 : x
  2. Step 2: Convert to fraction form
    6,209.81/8,569.55 = 3,377.20/x
  3. Step 3: Cross multiply
    6,209.81x = 8,569.55 × 3,377.20
  4. Step 4: Simplify right side
    6,209.81x = 28,941,067.37
  5. Step 5: Solve for x
    x = 28,941,067.37/6,209.81
  6. Step 6: Final answer
    x = 4,660.54

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