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Finding the Fourth Proportional to 6,469.86, 9,701.73 and 2,958.84

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Solution

The fourth proportional to 6,469.86, 9,701.73 and 2,958.84 is: 4,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.86 : 9,701.73 = 2,958.84 : x
  2. Step 2: Convert to fraction form
    6,469.86/9,701.73 = 2,958.84/x
  3. Step 3: Cross multiply
    6,469.86x = 9,701.73 × 2,958.84
  4. Step 4: Simplify right side
    6,469.86x = 28,705,866.79
  5. Step 5: Solve for x
    x = 28,705,866.79/6,469.86
  6. Step 6: Final answer
    x = 4,436.86

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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.