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Finding the Fourth Proportional to 6,709.22, 9,258.67 and 3,684.39

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Solution

The fourth proportional to 6,709.22, 9,258.67 and 3,684.39 is: 5,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.22 : 9,258.67 = 3,684.39 : x
  2. Step 2: Convert to fraction form
    6,709.22/9,258.67 = 3,684.39/x
  3. Step 3: Cross multiply
    6,709.22x = 9,258.67 × 3,684.39
  4. Step 4: Simplify right side
    6,709.22x = 34,112,521.05
  5. Step 5: Solve for x
    x = 34,112,521.05/6,709.22
  6. Step 6: Final answer
    x = 5,084.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.