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Finding the Fourth Proportional to 6,208.63, 8,567.90 and 3,414.13

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Solution

The fourth proportional to 6,208.63, 8,567.90 and 3,414.13 is: 4,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.63 : 8,567.90 = 3,414.13 : x
  2. Step 2: Convert to fraction form
    6,208.63/8,567.90 = 3,414.13/x
  3. Step 3: Cross multiply
    6,208.63x = 8,567.90 × 3,414.13
  4. Step 4: Simplify right side
    6,208.63x = 29,251,924.43
  5. Step 5: Solve for x
    x = 29,251,924.43/6,208.63
  6. Step 6: Final answer
    x = 4,711.49

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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.