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Finding the Fourth Proportional to 6,839.69, 9,438.63 and 3,855.46

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Solution

The fourth proportional to 6,839.69, 9,438.63 and 3,855.46 is: 5,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.69 : 9,438.63 = 3,855.46 : x
  2. Step 2: Convert to fraction form
    6,839.69/9,438.63 = 3,855.46/x
  3. Step 3: Cross multiply
    6,839.69x = 9,438.63 × 3,855.46
  4. Step 4: Simplify right side
    6,839.69x = 36,390,293.66
  5. Step 5: Solve for x
    x = 36,390,293.66/6,839.69
  6. Step 6: Final answer
    x = 5,320.46

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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.