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Finding the Fourth Proportional to 6,627.72, 9,146.16 and 3,643.54

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Solution

The fourth proportional to 6,627.72, 9,146.16 and 3,643.54 is: 5,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.72 : 9,146.16 = 3,643.54 : x
  2. Step 2: Convert to fraction form
    6,627.72/9,146.16 = 3,643.54/x
  3. Step 3: Cross multiply
    6,627.72x = 9,146.16 × 3,643.54
  4. Step 4: Simplify right side
    6,627.72x = 33,324,399.81
  5. Step 5: Solve for x
    x = 33,324,399.81/6,627.72
  6. Step 6: Final answer
    x = 5,028.03

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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.