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Finding the Fourth Proportional to 9,094.27, 12,548.97 and 5,735.82

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Solution

The fourth proportional to 9,094.27, 12,548.97 and 5,735.82 is: 7,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.27 : 12,548.97 = 5,735.82 : x
  2. Step 2: Convert to fraction form
    9,094.27/12,548.97 = 5,735.82/x
  3. Step 3: Cross multiply
    9,094.27x = 12,548.97 × 5,735.82
  4. Step 4: Simplify right side
    9,094.27x = 71,978,570.36
  5. Step 5: Solve for x
    x = 71,978,570.36/9,094.27
  6. Step 6: Final answer
    x = 7,914.72

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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.