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Finding the Fourth Proportional to 7,046.43, 9,694.92 and 5,357.98

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Solution

The fourth proportional to 7,046.43, 9,694.92 and 5,357.98 is: 7,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.43 : 9,694.92 = 5,357.98 : x
  2. Step 2: Convert to fraction form
    7,046.43/9,694.92 = 5,357.98/x
  3. Step 3: Cross multiply
    7,046.43x = 9,694.92 × 5,357.98
  4. Step 4: Simplify right side
    7,046.43x = 51,945,187.46
  5. Step 5: Solve for x
    x = 51,945,187.46/7,046.43
  6. Step 6: Final answer
    x = 7,371.84

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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.