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Finding the Fourth Proportional to 6,326.42, 8,732.31 and 3,675.02

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Solution

The fourth proportional to 6,326.42, 8,732.31 and 3,675.02 is: 5,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.42 : 8,732.31 = 3,675.02 : x
  2. Step 2: Convert to fraction form
    6,326.42/8,732.31 = 3,675.02/x
  3. Step 3: Cross multiply
    6,326.42x = 8,732.31 × 3,675.02
  4. Step 4: Simplify right side
    6,326.42x = 32,091,413.90
  5. Step 5: Solve for x
    x = 32,091,413.90/6,326.42
  6. Step 6: Final answer
    x = 5,072.60

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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.