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Finding the Fourth Proportional to 6,623.38, 9,140.27 and 3,639.22

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Solution

The fourth proportional to 6,623.38, 9,140.27 and 3,639.22 is: 5,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.38 : 9,140.27 = 3,639.22 : x
  2. Step 2: Convert to fraction form
    6,623.38/9,140.27 = 3,639.22/x
  3. Step 3: Cross multiply
    6,623.38x = 9,140.27 × 3,639.22
  4. Step 4: Simplify right side
    6,623.38x = 33,263,389.49
  5. Step 5: Solve for x
    x = 33,263,389.49/6,623.38
  6. Step 6: Final answer
    x = 5,022.12

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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.