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Finding the Fourth Proportional to 9,640.38, 13,305.16 and 6,103.92

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Solution

The fourth proportional to 9,640.38, 13,305.16 and 6,103.92 is: 8,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.38 : 13,305.16 = 6,103.92 : x
  2. Step 2: Convert to fraction form
    9,640.38/13,305.16 = 6,103.92/x
  3. Step 3: Cross multiply
    9,640.38x = 13,305.16 × 6,103.92
  4. Step 4: Simplify right side
    9,640.38x = 81,213,632.23
  5. Step 5: Solve for x
    x = 81,213,632.23/9,640.38
  6. Step 6: Final answer
    x = 8,424.32

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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.