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Finding the Fourth Proportional to 6,839.33, 9,438.94 and 4,006.52

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Solution

The fourth proportional to 6,839.33, 9,438.94 and 4,006.52 is: 5,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.33 : 9,438.94 = 4,006.52 : x
  2. Step 2: Convert to fraction form
    6,839.33/9,438.94 = 4,006.52/x
  3. Step 3: Cross multiply
    6,839.33x = 9,438.94 × 4,006.52
  4. Step 4: Simplify right side
    6,839.33x = 37,817,301.89
  5. Step 5: Solve for x
    x = 37,817,301.89/6,839.33
  6. Step 6: Final answer
    x = 5,529.39

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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.