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Finding the Fourth Proportional to 6,839.40, 9,434.97 and 4,601.37

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Solution

The fourth proportional to 6,839.40, 9,434.97 and 4,601.37 is: 6,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.40 : 9,434.97 = 4,601.37 : x
  2. Step 2: Convert to fraction form
    6,839.40/9,434.97 = 4,601.37/x
  3. Step 3: Cross multiply
    6,839.40x = 9,434.97 × 4,601.37
  4. Step 4: Simplify right side
    6,839.40x = 43,413,787.91
  5. Step 5: Solve for x
    x = 43,413,787.91/6,839.40
  6. Step 6: Final answer
    x = 6,347.60

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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.