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Finding the Fourth Proportional to 6,643.98, 9,169.20 and 3,850.02

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Solution

The fourth proportional to 6,643.98, 9,169.20 and 3,850.02 is: 5,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.98 : 9,169.20 = 3,850.02 : x
  2. Step 2: Convert to fraction form
    6,643.98/9,169.20 = 3,850.02/x
  3. Step 3: Cross multiply
    6,643.98x = 9,169.20 × 3,850.02
  4. Step 4: Simplify right side
    6,643.98x = 35,301,603.38
  5. Step 5: Solve for x
    x = 35,301,603.38/6,643.98
  6. Step 6: Final answer
    x = 5,313.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.