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Finding the Fourth Proportional to 6,646.78, 9,172.67 and 3,662.59

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Solution

The fourth proportional to 6,646.78, 9,172.67 and 3,662.59 is: 5,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.78 : 9,172.67 = 3,662.59 : x
  2. Step 2: Convert to fraction form
    6,646.78/9,172.67 = 3,662.59/x
  3. Step 3: Cross multiply
    6,646.78x = 9,172.67 × 3,662.59
  4. Step 4: Simplify right side
    6,646.78x = 33,595,729.42
  5. Step 5: Solve for x
    x = 33,595,729.42/6,646.78
  6. Step 6: Final answer
    x = 5,054.44

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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.