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Finding the Fourth Proportional to 6,627.71, 9,146.24 and 3,643.59

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Solution

The fourth proportional to 6,627.71, 9,146.24 and 3,643.59 is: 5,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.71 : 9,146.24 = 3,643.59 : x
  2. Step 2: Convert to fraction form
    6,627.71/9,146.24 = 3,643.59/x
  3. Step 3: Cross multiply
    6,627.71x = 9,146.24 × 3,643.59
  4. Step 4: Simplify right side
    6,627.71x = 33,325,157.71
  5. Step 5: Solve for x
    x = 33,325,157.71/6,627.71
  6. Step 6: Final answer
    x = 5,028.16

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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.