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Finding the Fourth Proportional to 6,912.64, 9,539.64 and 3,769

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Solution

The fourth proportional to 6,912.64, 9,539.64 and 3,769 is: 5,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.64 : 9,539.64 = 3,769 : x
  2. Step 2: Convert to fraction form
    6,912.64/9,539.64 = 3,769/x
  3. Step 3: Cross multiply
    6,912.64x = 9,539.64 × 3,769
  4. Step 4: Simplify right side
    6,912.64x = 35,954,903.16
  5. Step 5: Solve for x
    x = 35,954,903.16/6,912.64
  6. Step 6: Final answer
    x = 5,201.33

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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.