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Finding the Fourth Proportional to 9,905.44, 13,677.92 and 7,081.60

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Solution

The fourth proportional to 9,905.44, 13,677.92 and 7,081.60 is: 9,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.44 : 13,677.92 = 7,081.60 : x
  2. Step 2: Convert to fraction form
    9,905.44/13,677.92 = 7,081.60/x
  3. Step 3: Cross multiply
    9,905.44x = 13,677.92 × 7,081.60
  4. Step 4: Simplify right side
    9,905.44x = 96,861,558.27
  5. Step 5: Solve for x
    x = 96,861,558.27/9,905.44
  6. Step 6: Final answer
    x = 9,778.62

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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.