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Finding the Fourth Proportional to 6,838.39, 9,440.12 and 4,005.37

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Solution

The fourth proportional to 6,838.39, 9,440.12 and 4,005.37 is: 5,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.39 : 9,440.12 = 4,005.37 : x
  2. Step 2: Convert to fraction form
    6,838.39/9,440.12 = 4,005.37/x
  3. Step 3: Cross multiply
    6,838.39x = 9,440.12 × 4,005.37
  4. Step 4: Simplify right side
    6,838.39x = 37,811,173.44
  5. Step 5: Solve for x
    x = 37,811,173.44/6,838.39
  6. Step 6: Final answer
    x = 5,529.25

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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.