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Finding the Fourth Proportional to 6,209.31, 8,570.67 and 3,693.21

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Solution

The fourth proportional to 6,209.31, 8,570.67 and 3,693.21 is: 5,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.31 : 8,570.67 = 3,693.21 : x
  2. Step 2: Convert to fraction form
    6,209.31/8,570.67 = 3,693.21/x
  3. Step 3: Cross multiply
    6,209.31x = 8,570.67 × 3,693.21
  4. Step 4: Simplify right side
    6,209.31x = 31,653,284.15
  5. Step 5: Solve for x
    x = 31,653,284.15/6,209.31
  6. Step 6: Final answer
    x = 5,097.71

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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.