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Finding the Fourth Proportional to 6,957, 9,600.67 and 3,813.12

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Solution

The fourth proportional to 6,957, 9,600.67 and 3,813.12 is: 5,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957 : 9,600.67 = 3,813.12 : x
  2. Step 2: Convert to fraction form
    6,957/9,600.67 = 3,813.12/x
  3. Step 3: Cross multiply
    6,957x = 9,600.67 × 3,813.12
  4. Step 4: Simplify right side
    6,957x = 36,608,506.79
  5. Step 5: Solve for x
    x = 36,608,506.79/6,957
  6. Step 6: Final answer
    x = 5,262.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.