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Finding the Fourth Proportional to 6,743.37, 9,307.07 and 4,227.67

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Solution

The fourth proportional to 6,743.37, 9,307.07 and 4,227.67 is: 5,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.37 : 9,307.07 = 4,227.67 : x
  2. Step 2: Convert to fraction form
    6,743.37/9,307.07 = 4,227.67/x
  3. Step 3: Cross multiply
    6,743.37x = 9,307.07 × 4,227.67
  4. Step 4: Simplify right side
    6,743.37x = 39,347,174.62
  5. Step 5: Solve for x
    x = 39,347,174.62/6,743.37
  6. Step 6: Final answer
    x = 5,834.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.