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Finding the Fourth Proportional to 6,293.98, 9,441.15 and 2,134

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Solution

The fourth proportional to 6,293.98, 9,441.15 and 2,134 is: 3,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.98 : 9,441.15 = 2,134 : x
  2. Step 2: Convert to fraction form
    6,293.98/9,441.15 = 2,134/x
  3. Step 3: Cross multiply
    6,293.98x = 9,441.15 × 2,134
  4. Step 4: Simplify right side
    6,293.98x = 20,147,414.10
  5. Step 5: Solve for x
    x = 20,147,414.10/6,293.98
  6. Step 6: Final answer
    x = 3,201.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.