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Finding the Fourth Proportional to 6,502.08, 9,754.20 and 2,120.88

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Solution

The fourth proportional to 6,502.08, 9,754.20 and 2,120.88 is: 3,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.08 : 9,754.20 = 2,120.88 : x
  2. Step 2: Convert to fraction form
    6,502.08/9,754.20 = 2,120.88/x
  3. Step 3: Cross multiply
    6,502.08x = 9,754.20 × 2,120.88
  4. Step 4: Simplify right side
    6,502.08x = 20,687,487.70
  5. Step 5: Solve for x
    x = 20,687,487.70/6,502.08
  6. Step 6: Final answer
    x = 3,181.67

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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.