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Finding the Fourth Proportional to 6,906.49, 9,531 and 3,762.67

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Solution

The fourth proportional to 6,906.49, 9,531 and 3,762.67 is: 5,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.49 : 9,531 = 3,762.67 : x
  2. Step 2: Convert to fraction form
    6,906.49/9,531 = 3,762.67/x
  3. Step 3: Cross multiply
    6,906.49x = 9,531 × 3,762.67
  4. Step 4: Simplify right side
    6,906.49x = 35,862,007.77
  5. Step 5: Solve for x
    x = 35,862,007.77/6,906.49
  6. Step 6: Final answer
    x = 5,192.51

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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.