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Finding the Fourth Proportional to 9,540.44, 13,163.94 and 5,291.33

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Solution

The fourth proportional to 9,540.44, 13,163.94 and 5,291.33 is: 7,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.44 : 13,163.94 = 5,291.33 : x
  2. Step 2: Convert to fraction form
    9,540.44/13,163.94 = 5,291.33/x
  3. Step 3: Cross multiply
    9,540.44x = 13,163.94 × 5,291.33
  4. Step 4: Simplify right side
    9,540.44x = 69,654,750.64
  5. Step 5: Solve for x
    x = 69,654,750.64/9,540.44
  6. Step 6: Final answer
    x = 7,301.00

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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.