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Finding the Fourth Proportional to 6,293.14, 9,439.10 and 1,910.63

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Solution

The fourth proportional to 6,293.14, 9,439.10 and 1,910.63 is: 2,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.14 : 9,439.10 = 1,910.63 : x
  2. Step 2: Convert to fraction form
    6,293.14/9,439.10 = 1,910.63/x
  3. Step 3: Cross multiply
    6,293.14x = 9,439.10 × 1,910.63
  4. Step 4: Simplify right side
    6,293.14x = 18,034,627.63
  5. Step 5: Solve for x
    x = 18,034,627.63/6,293.14
  6. Step 6: Final answer
    x = 2,865.76

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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.