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Finding the Fourth Proportional to 6,205.19, 9,308.25 and 2,309.63

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Solution

The fourth proportional to 6,205.19, 9,308.25 and 2,309.63 is: 3,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.19 : 9,308.25 = 2,309.63 : x
  2. Step 2: Convert to fraction form
    6,205.19/9,308.25 = 2,309.63/x
  3. Step 3: Cross multiply
    6,205.19x = 9,308.25 × 2,309.63
  4. Step 4: Simplify right side
    6,205.19x = 21,498,566.91
  5. Step 5: Solve for x
    x = 21,498,566.91/6,205.19
  6. Step 6: Final answer
    x = 3,464.61

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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.