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Finding the Fourth Proportional to 6,646.68, 9,172.32 and 3,662.82

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Solution

The fourth proportional to 6,646.68, 9,172.32 and 3,662.82 is: 5,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.68 : 9,172.32 = 3,662.82 : x
  2. Step 2: Convert to fraction form
    6,646.68/9,172.32 = 3,662.82/x
  3. Step 3: Cross multiply
    6,646.68x = 9,172.32 × 3,662.82
  4. Step 4: Simplify right side
    6,646.68x = 33,596,557.14
  5. Step 5: Solve for x
    x = 33,596,557.14/6,646.68
  6. Step 6: Final answer
    x = 5,054.64

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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.