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Finding the Fourth Proportional to 6,657.44, 9,986.24 and 3,193.88

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Solution

The fourth proportional to 6,657.44, 9,986.24 and 3,193.88 is: 4,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.44 : 9,986.24 = 3,193.88 : x
  2. Step 2: Convert to fraction form
    6,657.44/9,986.24 = 3,193.88/x
  3. Step 3: Cross multiply
    6,657.44x = 9,986.24 × 3,193.88
  4. Step 4: Simplify right side
    6,657.44x = 31,894,852.21
  5. Step 5: Solve for x
    x = 31,894,852.21/6,657.44
  6. Step 6: Final answer
    x = 4,790.86

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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.