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Finding the Fourth Proportional to 6,496.74, 9,723.50 and 5,189.22

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Solution

The fourth proportional to 6,496.74, 9,723.50 and 5,189.22 is: 7,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.74 : 9,723.50 = 5,189.22 : x
  2. Step 2: Convert to fraction form
    6,496.74/9,723.50 = 5,189.22/x
  3. Step 3: Cross multiply
    6,496.74x = 9,723.50 × 5,189.22
  4. Step 4: Simplify right side
    6,496.74x = 50,457,380.67
  5. Step 5: Solve for x
    x = 50,457,380.67/6,496.74
  6. Step 6: Final answer
    x = 7,766.57

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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.