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Finding the Fourth Proportional to 6,745.47, 9,308.57 and 3,912.67

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Solution

The fourth proportional to 6,745.47, 9,308.57 and 3,912.67 is: 5,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.47 : 9,308.57 = 3,912.67 : x
  2. Step 2: Convert to fraction form
    6,745.47/9,308.57 = 3,912.67/x
  3. Step 3: Cross multiply
    6,745.47x = 9,308.57 × 3,912.67
  4. Step 4: Simplify right side
    6,745.47x = 36,421,362.58
  5. Step 5: Solve for x
    x = 36,421,362.58/6,745.47
  6. Step 6: Final answer
    x = 5,399.38

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Why These Related Problems?

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