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Finding the Fourth Proportional to 7,141.67, 9,855.59 and 4,309.19

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Solution

The fourth proportional to 7,141.67, 9,855.59 and 4,309.19 is: 5,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.67 : 9,855.59 = 4,309.19 : x
  2. Step 2: Convert to fraction form
    7,141.67/9,855.59 = 4,309.19/x
  3. Step 3: Cross multiply
    7,141.67x = 9,855.59 × 4,309.19
  4. Step 4: Simplify right side
    7,141.67x = 42,469,609.87
  5. Step 5: Solve for x
    x = 42,469,609.87/7,141.67
  6. Step 6: Final answer
    x = 5,946.73

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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.