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Finding the Fourth Proportional to 6,627.88, 9,146.69 and 3,643.84

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Solution

The fourth proportional to 6,627.88, 9,146.69 and 3,643.84 is: 5,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.88 : 9,146.69 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    6,627.88/9,146.69 = 3,643.84/x
  3. Step 3: Cross multiply
    6,627.88x = 9,146.69 × 3,643.84
  4. Step 4: Simplify right side
    6,627.88x = 33,329,074.89
  5. Step 5: Solve for x
    x = 33,329,074.89/6,627.88
  6. Step 6: Final answer
    x = 5,028.62

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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.