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Finding the Fourth Proportional to 6,627.71, 9,146.05 and 3,643.13

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Solution

The fourth proportional to 6,627.71, 9,146.05 and 3,643.13 is: 5,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.71 : 9,146.05 = 3,643.13 : x
  2. Step 2: Convert to fraction form
    6,627.71/9,146.05 = 3,643.13/x
  3. Step 3: Cross multiply
    6,627.71x = 9,146.05 × 3,643.13
  4. Step 4: Simplify right side
    6,627.71x = 33,320,249.14
  5. Step 5: Solve for x
    x = 33,320,249.14/6,627.71
  6. Step 6: Final answer
    x = 5,027.42

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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.