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Finding the Fourth Proportional to 9,518.66, 13,138.39 and 5,540.54

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Solution

The fourth proportional to 9,518.66, 13,138.39 and 5,540.54 is: 7,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.66 : 13,138.39 = 5,540.54 : x
  2. Step 2: Convert to fraction form
    9,518.66/13,138.39 = 5,540.54/x
  3. Step 3: Cross multiply
    9,518.66x = 13,138.39 × 5,540.54
  4. Step 4: Simplify right side
    9,518.66x = 72,793,775.33
  5. Step 5: Solve for x
    x = 72,793,775.33/9,518.66
  6. Step 6: Final answer
    x = 7,647.48

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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.