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Finding the Fourth Proportional to 9,641.18, 13,305.33 and 5,863.73

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Solution

The fourth proportional to 9,641.18, 13,305.33 and 5,863.73 is: 8,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.18 : 13,305.33 = 5,863.73 : x
  2. Step 2: Convert to fraction form
    9,641.18/13,305.33 = 5,863.73/x
  3. Step 3: Cross multiply
    9,641.18x = 13,305.33 × 5,863.73
  4. Step 4: Simplify right side
    9,641.18x = 78,018,862.68
  5. Step 5: Solve for x
    x = 78,018,862.68/9,641.18
  6. Step 6: Final answer
    x = 8,092.25

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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.