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Finding the Fourth Proportional to 6,650.68, 9,978.44 and 3,141.76

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Solution

The fourth proportional to 6,650.68, 9,978.44 and 3,141.76 is: 4,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.68 : 9,978.44 = 3,141.76 : x
  2. Step 2: Convert to fraction form
    6,650.68/9,978.44 = 3,141.76/x
  3. Step 3: Cross multiply
    6,650.68x = 9,978.44 × 3,141.76
  4. Step 4: Simplify right side
    6,650.68x = 31,349,863.65
  5. Step 5: Solve for x
    x = 31,349,863.65/6,650.68
  6. Step 6: Final answer
    x = 4,713.78

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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.