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Finding the Fourth Proportional to 6,233.37, 9,328.13 and 3,894.48

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Solution

The fourth proportional to 6,233.37, 9,328.13 and 3,894.48 is: 5,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.37 : 9,328.13 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    6,233.37/9,328.13 = 3,894.48/x
  3. Step 3: Cross multiply
    6,233.37x = 9,328.13 × 3,894.48
  4. Step 4: Simplify right side
    6,233.37x = 36,328,196.25
  5. Step 5: Solve for x
    x = 36,328,196.25/6,233.37
  6. Step 6: Final answer
    x = 5,828.02

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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.