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Finding the Fourth Proportional to 8,546.21, 11,796.62 and 5,009.34

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Solution

The fourth proportional to 8,546.21, 11,796.62 and 5,009.34 is: 6,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.21 : 11,796.62 = 5,009.34 : x
  2. Step 2: Convert to fraction form
    8,546.21/11,796.62 = 5,009.34/x
  3. Step 3: Cross multiply
    8,546.21x = 11,796.62 × 5,009.34
  4. Step 4: Simplify right side
    8,546.21x = 59,093,327.80
  5. Step 5: Solve for x
    x = 59,093,327.80/8,546.21
  6. Step 6: Final answer
    x = 6,914.57

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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.