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Finding the Fourth Proportional to 6,390.30, 9,568.16 and 3,305.82

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Solution

The fourth proportional to 6,390.30, 9,568.16 and 3,305.82 is: 4,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.30 : 9,568.16 = 3,305.82 : x
  2. Step 2: Convert to fraction form
    6,390.30/9,568.16 = 3,305.82/x
  3. Step 3: Cross multiply
    6,390.30x = 9,568.16 × 3,305.82
  4. Step 4: Simplify right side
    6,390.30x = 31,630,614.69
  5. Step 5: Solve for x
    x = 31,630,614.69/6,390.30
  6. Step 6: Final answer
    x = 4,949.79

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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.