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Finding the Fourth Proportional to 6,684.19, 9,224.18 and 3,889.69

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Solution

The fourth proportional to 6,684.19, 9,224.18 and 3,889.69 is: 5,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.19 : 9,224.18 = 3,889.69 : x
  2. Step 2: Convert to fraction form
    6,684.19/9,224.18 = 3,889.69/x
  3. Step 3: Cross multiply
    6,684.19x = 9,224.18 × 3,889.69
  4. Step 4: Simplify right side
    6,684.19x = 35,879,172.78
  5. Step 5: Solve for x
    x = 35,879,172.78/6,684.19
  6. Step 6: Final answer
    x = 5,367.77

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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.