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Finding the Fourth Proportional to 6,423.30, 9,623.07 and 3,504.06

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Solution

The fourth proportional to 6,423.30, 9,623.07 and 3,504.06 is: 5,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.30 : 9,623.07 = 3,504.06 : x
  2. Step 2: Convert to fraction form
    6,423.30/9,623.07 = 3,504.06/x
  3. Step 3: Cross multiply
    6,423.30x = 9,623.07 × 3,504.06
  4. Step 4: Simplify right side
    6,423.30x = 33,719,814.66
  5. Step 5: Solve for x
    x = 33,719,814.66/6,423.30
  6. Step 6: Final answer
    x = 5,249.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.