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Finding the Fourth Proportional to 9,365.82, 14,039.85 and 3,205.50

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Solution

The fourth proportional to 9,365.82, 14,039.85 and 3,205.50 is: 4,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.82 : 14,039.85 = 3,205.50 : x
  2. Step 2: Convert to fraction form
    9,365.82/14,039.85 = 3,205.50/x
  3. Step 3: Cross multiply
    9,365.82x = 14,039.85 × 3,205.50
  4. Step 4: Simplify right side
    9,365.82x = 45,004,739.18
  5. Step 5: Solve for x
    x = 45,004,739.18/9,365.82
  6. Step 6: Final answer
    x = 4,805.21

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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.