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Finding the Fourth Proportional to 6,635.88, 9,157.56 and 3,651.63

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Solution

The fourth proportional to 6,635.88, 9,157.56 and 3,651.63 is: 5,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.88 : 9,157.56 = 3,651.63 : x
  2. Step 2: Convert to fraction form
    6,635.88/9,157.56 = 3,651.63/x
  3. Step 3: Cross multiply
    6,635.88x = 9,157.56 × 3,651.63
  4. Step 4: Simplify right side
    6,635.88x = 33,440,020.82
  5. Step 5: Solve for x
    x = 33,440,020.82/6,635.88
  6. Step 6: Final answer
    x = 5,039.27

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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.