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Finding the Fourth Proportional to 9,494.82, 13,109.04 and 8,498.40

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Solution

The fourth proportional to 9,494.82, 13,109.04 and 8,498.40 is: 11,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.82 : 13,109.04 = 8,498.40 : x
  2. Step 2: Convert to fraction form
    9,494.82/13,109.04 = 8,498.40/x
  3. Step 3: Cross multiply
    9,494.82x = 13,109.04 × 8,498.40
  4. Step 4: Simplify right side
    9,494.82x = 111,405,865.54
  5. Step 5: Solve for x
    x = 111,405,865.54/9,494.82
  6. Step 6: Final answer
    x = 11,733.33

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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.