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Finding the Fourth Proportional to 6,868.37, 9,478.49 and 3,884.36

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Solution

The fourth proportional to 6,868.37, 9,478.49 and 3,884.36 is: 5,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.37 : 9,478.49 = 3,884.36 : x
  2. Step 2: Convert to fraction form
    6,868.37/9,478.49 = 3,884.36/x
  3. Step 3: Cross multiply
    6,868.37x = 9,478.49 × 3,884.36
  4. Step 4: Simplify right side
    6,868.37x = 36,817,833.38
  5. Step 5: Solve for x
    x = 36,817,833.38/6,868.37
  6. Step 6: Final answer
    x = 5,360.49

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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.