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Finding the Fourth Proportional to 6,482.46, 9,721.66 and 2,099.01

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Solution

The fourth proportional to 6,482.46, 9,721.66 and 2,099.01 is: 3,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.46 : 9,721.66 = 2,099.01 : x
  2. Step 2: Convert to fraction form
    6,482.46/9,721.66 = 2,099.01/x
  3. Step 3: Cross multiply
    6,482.46x = 9,721.66 × 2,099.01
  4. Step 4: Simplify right side
    6,482.46x = 20,405,861.56
  5. Step 5: Solve for x
    x = 20,405,861.56/6,482.46
  6. Step 6: Final answer
    x = 3,147.86

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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.