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Finding the Fourth Proportional to 9,102.33, 13,644.99 and 4,167

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Solution

The fourth proportional to 9,102.33, 13,644.99 and 4,167 is: 6,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.33 : 13,644.99 = 4,167 : x
  2. Step 2: Convert to fraction form
    9,102.33/13,644.99 = 4,167/x
  3. Step 3: Cross multiply
    9,102.33x = 13,644.99 × 4,167
  4. Step 4: Simplify right side
    9,102.33x = 56,858,673.33
  5. Step 5: Solve for x
    x = 56,858,673.33/9,102.33
  6. Step 6: Final answer
    x = 6,246.61

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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.