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Finding the Fourth Proportional to 9,233.84, 12,733 and 6,086

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Solution

The fourth proportional to 9,233.84, 12,733 and 6,086 is: 8,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.84 : 12,733 = 6,086 : x
  2. Step 2: Convert to fraction form
    9,233.84/12,733 = 6,086/x
  3. Step 3: Cross multiply
    9,233.84x = 12,733 × 6,086
  4. Step 4: Simplify right side
    9,233.84x = 77,493,038
  5. Step 5: Solve for x
    x = 77,493,038/9,233.84
  6. Step 6: Final answer
    x = 8,392.29

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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.