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Finding the Fourth Proportional to 6,934.37, 9,576.42 and 4,417.61

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Solution

The fourth proportional to 6,934.37, 9,576.42 and 4,417.61 is: 6,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.37 : 9,576.42 = 4,417.61 : x
  2. Step 2: Convert to fraction form
    6,934.37/9,576.42 = 4,417.61/x
  3. Step 3: Cross multiply
    6,934.37x = 9,576.42 × 4,417.61
  4. Step 4: Simplify right side
    6,934.37x = 42,304,912.70
  5. Step 5: Solve for x
    x = 42,304,912.70/6,934.37
  6. Step 6: Final answer
    x = 6,100.76

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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.