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Finding the Fourth Proportional to 9,991.54, 13,782.39 and 6,456.84

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Solution

The fourth proportional to 9,991.54, 13,782.39 and 6,456.84 is: 8,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.54 : 13,782.39 = 6,456.84 : x
  2. Step 2: Convert to fraction form
    9,991.54/13,782.39 = 6,456.84/x
  3. Step 3: Cross multiply
    9,991.54x = 13,782.39 × 6,456.84
  4. Step 4: Simplify right side
    9,991.54x = 88,990,687.05
  5. Step 5: Solve for x
    x = 88,990,687.05/9,991.54
  6. Step 6: Final answer
    x = 8,906.60

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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.