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Finding the Fourth Proportional to 9,863.84, 13,617.60 and 6,843.44

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Solution

The fourth proportional to 9,863.84, 13,617.60 and 6,843.44 is: 9,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.84 : 13,617.60 = 6,843.44 : x
  2. Step 2: Convert to fraction form
    9,863.84/13,617.60 = 6,843.44/x
  3. Step 3: Cross multiply
    9,863.84x = 13,617.60 × 6,843.44
  4. Step 4: Simplify right side
    9,863.84x = 93,191,228.54
  5. Step 5: Solve for x
    x = 93,191,228.54/9,863.84
  6. Step 6: Final answer
    x = 9,447.76

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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.