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Finding the Fourth Proportional to 9,205.98, 13,816.26 and 4,015.50

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Solution

The fourth proportional to 9,205.98, 13,816.26 and 4,015.50 is: 6,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.98 : 13,816.26 = 4,015.50 : x
  2. Step 2: Convert to fraction form
    9,205.98/13,816.26 = 4,015.50/x
  3. Step 3: Cross multiply
    9,205.98x = 13,816.26 × 4,015.50
  4. Step 4: Simplify right side
    9,205.98x = 55,479,192.03
  5. Step 5: Solve for x
    x = 55,479,192.03/9,205.98
  6. Step 6: Final answer
    x = 6,026.43

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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.