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Finding the Fourth Proportional to 6,957.28, 9,601.05 and 3,813.49

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Solution

The fourth proportional to 6,957.28, 9,601.05 and 3,813.49 is: 5,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.28 : 9,601.05 = 3,813.49 : x
  2. Step 2: Convert to fraction form
    6,957.28/9,601.05 = 3,813.49/x
  3. Step 3: Cross multiply
    6,957.28x = 9,601.05 × 3,813.49
  4. Step 4: Simplify right side
    6,957.28x = 36,613,508.16
  5. Step 5: Solve for x
    x = 36,613,508.16/6,957.28
  6. Step 6: Final answer
    x = 5,262.62

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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.