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Finding the Fourth Proportional to 6,919.22, 9,546.29 and 4,086.71

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Solution

The fourth proportional to 6,919.22, 9,546.29 and 4,086.71 is: 5,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.22 : 9,546.29 = 4,086.71 : x
  2. Step 2: Convert to fraction form
    6,919.22/9,546.29 = 4,086.71/x
  3. Step 3: Cross multiply
    6,919.22x = 9,546.29 × 4,086.71
  4. Step 4: Simplify right side
    6,919.22x = 39,012,918.81
  5. Step 5: Solve for x
    x = 39,012,918.81/6,919.22
  6. Step 6: Final answer
    x = 5,638.34

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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.