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Finding the Fourth Proportional to 9,641.56, 13,305.36 and 5,864.38

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Solution

The fourth proportional to 9,641.56, 13,305.36 and 5,864.38 is: 8,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.56 : 13,305.36 = 5,864.38 : x
  2. Step 2: Convert to fraction form
    9,641.56/13,305.36 = 5,864.38/x
  3. Step 3: Cross multiply
    9,641.56x = 13,305.36 × 5,864.38
  4. Step 4: Simplify right side
    9,641.56x = 78,027,687.08
  5. Step 5: Solve for x
    x = 78,027,687.08/9,641.56
  6. Step 6: Final answer
    x = 8,092.85

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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.