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Finding the Fourth Proportional to 9,239.50, 13,859.37 and 3,083.50

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Solution

The fourth proportional to 9,239.50, 13,859.37 and 3,083.50 is: 4,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.50 : 13,859.37 = 3,083.50 : x
  2. Step 2: Convert to fraction form
    9,239.50/13,859.37 = 3,083.50/x
  3. Step 3: Cross multiply
    9,239.50x = 13,859.37 × 3,083.50
  4. Step 4: Simplify right side
    9,239.50x = 42,735,367.40
  5. Step 5: Solve for x
    x = 42,735,367.40/9,239.50
  6. Step 6: Final answer
    x = 4,625.29

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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.