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Finding the Fourth Proportional to 6,114.26, 9,164.67 and 3,114.54

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Solution

The fourth proportional to 6,114.26, 9,164.67 and 3,114.54 is: 4,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.26 : 9,164.67 = 3,114.54 : x
  2. Step 2: Convert to fraction form
    6,114.26/9,164.67 = 3,114.54/x
  3. Step 3: Cross multiply
    6,114.26x = 9,164.67 × 3,114.54
  4. Step 4: Simplify right side
    6,114.26x = 28,543,715.49
  5. Step 5: Solve for x
    x = 28,543,715.49/6,114.26
  6. Step 6: Final answer
    x = 4,668.38

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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.