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Finding the Fourth Proportional to 6,722.38, 9,276.69 and 3,890.22

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Solution

The fourth proportional to 6,722.38, 9,276.69 and 3,890.22 is: 5,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.38 : 9,276.69 = 3,890.22 : x
  2. Step 2: Convert to fraction form
    6,722.38/9,276.69 = 3,890.22/x
  3. Step 3: Cross multiply
    6,722.38x = 9,276.69 × 3,890.22
  4. Step 4: Simplify right side
    6,722.38x = 36,088,364.97
  5. Step 5: Solve for x
    x = 36,088,364.97/6,722.38
  6. Step 6: Final answer
    x = 5,368.39

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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.