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Finding the Fourth Proportional to 6,363.72, 9,540.78 and 4,173

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Solution

The fourth proportional to 6,363.72, 9,540.78 and 4,173 is: 6,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.72 : 9,540.78 = 4,173 : x
  2. Step 2: Convert to fraction form
    6,363.72/9,540.78 = 4,173/x
  3. Step 3: Cross multiply
    6,363.72x = 9,540.78 × 4,173
  4. Step 4: Simplify right side
    6,363.72x = 39,813,674.94
  5. Step 5: Solve for x
    x = 39,813,674.94/6,363.72
  6. Step 6: Final answer
    x = 6,256.35

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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.