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Finding the Fourth Proportional to 6,577.71, 9,072.48 and 4,185.33

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Solution

The fourth proportional to 6,577.71, 9,072.48 and 4,185.33 is: 5,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.71 : 9,072.48 = 4,185.33 : x
  2. Step 2: Convert to fraction form
    6,577.71/9,072.48 = 4,185.33/x
  3. Step 3: Cross multiply
    6,577.71x = 9,072.48 × 4,185.33
  4. Step 4: Simplify right side
    6,577.71x = 37,971,322.72
  5. Step 5: Solve for x
    x = 37,971,322.72/6,577.71
  6. Step 6: Final answer
    x = 5,772.73

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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.