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Finding the Fourth Proportional to 6,627.76, 9,145.71 and 3,643.72

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Solution

The fourth proportional to 6,627.76, 9,145.71 and 3,643.72 is: 5,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.76 : 9,145.71 = 3,643.72 : x
  2. Step 2: Convert to fraction form
    6,627.76/9,145.71 = 3,643.72/x
  3. Step 3: Cross multiply
    6,627.76x = 9,145.71 × 3,643.72
  4. Step 4: Simplify right side
    6,627.76x = 33,324,383.58
  5. Step 5: Solve for x
    x = 33,324,383.58/6,627.76
  6. Step 6: Final answer
    x = 5,028.00

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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.