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Finding the Fourth Proportional to 6,643.49, 9,167.76 and 3,659.54

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Solution

The fourth proportional to 6,643.49, 9,167.76 and 3,659.54 is: 5,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.49 : 9,167.76 = 3,659.54 : x
  2. Step 2: Convert to fraction form
    6,643.49/9,167.76 = 3,659.54/x
  3. Step 3: Cross multiply
    6,643.49x = 9,167.76 × 3,659.54
  4. Step 4: Simplify right side
    6,643.49x = 33,549,738.59
  5. Step 5: Solve for x
    x = 33,549,738.59/6,643.49
  6. Step 6: Final answer
    x = 5,050.02

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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.