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Finding the Fourth Proportional to 6,041.01, 9,072.32 and 3,965.25

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Solution

The fourth proportional to 6,041.01, 9,072.32 and 3,965.25 is: 5,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.01 : 9,072.32 = 3,965.25 : x
  2. Step 2: Convert to fraction form
    6,041.01/9,072.32 = 3,965.25/x
  3. Step 3: Cross multiply
    6,041.01x = 9,072.32 × 3,965.25
  4. Step 4: Simplify right side
    6,041.01x = 35,973,997.05
  5. Step 5: Solve for x
    x = 35,973,997.05/6,041.01
  6. Step 6: Final answer
    x = 5,954.96

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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.