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Finding the Fourth Proportional to 6,890.37, 9,509.30 and 3,906.74

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Solution

The fourth proportional to 6,890.37, 9,509.30 and 3,906.74 is: 5,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.37 : 9,509.30 = 3,906.74 : x
  2. Step 2: Convert to fraction form
    6,890.37/9,509.30 = 3,906.74/x
  3. Step 3: Cross multiply
    6,890.37x = 9,509.30 × 3,906.74
  4. Step 4: Simplify right side
    6,890.37x = 37,150,295.60
  5. Step 5: Solve for x
    x = 37,150,295.60/6,890.37
  6. Step 6: Final answer
    x = 5,391.63

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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.