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Finding the Fourth Proportional to 6,294.36, 9,438.42 and 3,798.12

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Solution

The fourth proportional to 6,294.36, 9,438.42 and 3,798.12 is: 5,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.36 : 9,438.42 = 3,798.12 : x
  2. Step 2: Convert to fraction form
    6,294.36/9,438.42 = 3,798.12/x
  3. Step 3: Cross multiply
    6,294.36x = 9,438.42 × 3,798.12
  4. Step 4: Simplify right side
    6,294.36x = 35,848,251.77
  5. Step 5: Solve for x
    x = 35,848,251.77/6,294.36
  6. Step 6: Final answer
    x = 5,695.30

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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.