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Finding the Fourth Proportional to 6,295.14, 9,442.09 and 1,912.64

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Solution

The fourth proportional to 6,295.14, 9,442.09 and 1,912.64 is: 2,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.14 : 9,442.09 = 1,912.64 : x
  2. Step 2: Convert to fraction form
    6,295.14/9,442.09 = 1,912.64/x
  3. Step 3: Cross multiply
    6,295.14x = 9,442.09 × 1,912.64
  4. Step 4: Simplify right side
    6,295.14x = 18,059,319.02
  5. Step 5: Solve for x
    x = 18,059,319.02/6,295.14
  6. Step 6: Final answer
    x = 2,868.77

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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.