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Finding the Fourth Proportional to 6,071.67, 9,111.69 and 3,992.67

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Solution

The fourth proportional to 6,071.67, 9,111.69 and 3,992.67 is: 5,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.67 : 9,111.69 = 3,992.67 : x
  2. Step 2: Convert to fraction form
    6,071.67/9,111.69 = 3,992.67/x
  3. Step 3: Cross multiply
    6,071.67x = 9,111.69 × 3,992.67
  4. Step 4: Simplify right side
    6,071.67x = 36,379,971.31
  5. Step 5: Solve for x
    x = 36,379,971.31/6,071.67
  6. Step 6: Final answer
    x = 5,991.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.