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Finding the Fourth Proportional to 9,083.76, 13,625.27 and 3,162

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Solution

The fourth proportional to 9,083.76, 13,625.27 and 3,162 is: 4,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.76 : 13,625.27 = 3,162 : x
  2. Step 2: Convert to fraction form
    9,083.76/13,625.27 = 3,162/x
  3. Step 3: Cross multiply
    9,083.76x = 13,625.27 × 3,162
  4. Step 4: Simplify right side
    9,083.76x = 43,083,087.93
  5. Step 5: Solve for x
    x = 43,083,087.93/9,083.76
  6. Step 6: Final answer
    x = 4,742.87

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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.