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Finding the Fourth Proportional to 7,247.37, 9,926.44 and 6,821.82

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Solution

The fourth proportional to 7,247.37, 9,926.44 and 6,821.82 is: 9,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.37 : 9,926.44 = 6,821.82 : x
  2. Step 2: Convert to fraction form
    7,247.37/9,926.44 = 6,821.82/x
  3. Step 3: Cross multiply
    7,247.37x = 9,926.44 × 6,821.82
  4. Step 4: Simplify right side
    7,247.37x = 67,716,369.87
  5. Step 5: Solve for x
    x = 67,716,369.87/7,247.37
  6. Step 6: Final answer
    x = 9,343.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.