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Finding the Fourth Proportional to 6,323, 8,727.56 and 4,233.20

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Solution

The fourth proportional to 6,323, 8,727.56 and 4,233.20 is: 5,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323 : 8,727.56 = 4,233.20 : x
  2. Step 2: Convert to fraction form
    6,323/8,727.56 = 4,233.20/x
  3. Step 3: Cross multiply
    6,323x = 8,727.56 × 4,233.20
  4. Step 4: Simplify right side
    6,323x = 36,945,506.99
  5. Step 5: Solve for x
    x = 36,945,506.99/6,323
  6. Step 6: Final answer
    x = 5,843.03

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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.