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Finding the Fourth Proportional to 6,206.29, 9,305.08 and 2,917.69

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Solution

The fourth proportional to 6,206.29, 9,305.08 and 2,917.69 is: 4,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.29 : 9,305.08 = 2,917.69 : x
  2. Step 2: Convert to fraction form
    6,206.29/9,305.08 = 2,917.69/x
  3. Step 3: Cross multiply
    6,206.29x = 9,305.08 × 2,917.69
  4. Step 4: Simplify right side
    6,206.29x = 27,149,308.31
  5. Step 5: Solve for x
    x = 27,149,308.31/6,206.29
  6. Step 6: Final answer
    x = 4,374.48

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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.