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Finding the Fourth Proportional to 6,667.93, 9,201.75 and 3,643.10

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Solution

The fourth proportional to 6,667.93, 9,201.75 and 3,643.10 is: 5,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.93 : 9,201.75 = 3,643.10 : x
  2. Step 2: Convert to fraction form
    6,667.93/9,201.75 = 3,643.10/x
  3. Step 3: Cross multiply
    6,667.93x = 9,201.75 × 3,643.10
  4. Step 4: Simplify right side
    6,667.93x = 33,522,895.43
  5. Step 5: Solve for x
    x = 33,522,895.43/6,667.93
  6. Step 6: Final answer
    x = 5,027.48

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