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Finding the Fourth Proportional to 9,496.82, 13,111.80 and 8,500.40

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Solution

The fourth proportional to 9,496.82, 13,111.80 and 8,500.40 is: 11,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.82 : 13,111.80 = 8,500.40 : x
  2. Step 2: Convert to fraction form
    9,496.82/13,111.80 = 8,500.40/x
  3. Step 3: Cross multiply
    9,496.82x = 13,111.80 × 8,500.40
  4. Step 4: Simplify right side
    9,496.82x = 111,455,544.72
  5. Step 5: Solve for x
    x = 111,455,544.72/9,496.82
  6. Step 6: Final answer
    x = 11,736.09

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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.