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Finding the Fourth Proportional to 6,627.41, 9,145.71 and 3,643.52

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Solution

The fourth proportional to 6,627.41, 9,145.71 and 3,643.52 is: 5,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.41 : 9,145.71 = 3,643.52 : x
  2. Step 2: Convert to fraction form
    6,627.41/9,145.71 = 3,643.52/x
  3. Step 3: Cross multiply
    6,627.41x = 9,145.71 × 3,643.52
  4. Step 4: Simplify right side
    6,627.41x = 33,322,531.57
  5. Step 5: Solve for x
    x = 33,322,531.57/6,627.41
  6. Step 6: Final answer
    x = 5,027.99

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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.