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Finding the Fourth Proportional to 6,504.26, 9,756.41 and 5,213.93

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Solution

The fourth proportional to 6,504.26, 9,756.41 and 5,213.93 is: 7,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.26 : 9,756.41 = 5,213.93 : x
  2. Step 2: Convert to fraction form
    6,504.26/9,756.41 = 5,213.93/x
  3. Step 3: Cross multiply
    6,504.26x = 9,756.41 × 5,213.93
  4. Step 4: Simplify right side
    6,504.26x = 50,869,163.94
  5. Step 5: Solve for x
    x = 50,869,163.94/6,504.26
  6. Step 6: Final answer
    x = 7,820.91

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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.