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Finding the Fourth Proportional to 6,548.45, 9,817.96 and 3,909.67

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Solution

The fourth proportional to 6,548.45, 9,817.96 and 3,909.67 is: 5,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.45 : 9,817.96 = 3,909.67 : x
  2. Step 2: Convert to fraction form
    6,548.45/9,817.96 = 3,909.67/x
  3. Step 3: Cross multiply
    6,548.45x = 9,817.96 × 3,909.67
  4. Step 4: Simplify right side
    6,548.45x = 38,384,956.68
  5. Step 5: Solve for x
    x = 38,384,956.68/6,548.45
  6. Step 6: Final answer
    x = 5,861.69

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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.