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Finding the Fourth Proportional to 9,093.84, 13,627.08 and 6,162

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Solution

The fourth proportional to 9,093.84, 13,627.08 and 6,162 is: 9,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.84 : 13,627.08 = 6,162 : x
  2. Step 2: Convert to fraction form
    9,093.84/13,627.08 = 6,162/x
  3. Step 3: Cross multiply
    9,093.84x = 13,627.08 × 6,162
  4. Step 4: Simplify right side
    9,093.84x = 83,970,066.96
  5. Step 5: Solve for x
    x = 83,970,066.96/9,093.84
  6. Step 6: Final answer
    x = 9,233.73

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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.