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Finding the Fourth Proportional to 6,540.84, 9,027.66 and 3,887.72

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Solution

The fourth proportional to 6,540.84, 9,027.66 and 3,887.72 is: 5,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.84 : 9,027.66 = 3,887.72 : x
  2. Step 2: Convert to fraction form
    6,540.84/9,027.66 = 3,887.72/x
  3. Step 3: Cross multiply
    6,540.84x = 9,027.66 × 3,887.72
  4. Step 4: Simplify right side
    6,540.84x = 35,097,014.34
  5. Step 5: Solve for x
    x = 35,097,014.34/6,540.84
  6. Step 6: Final answer
    x = 5,365.83

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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.