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Finding the Fourth Proportional to 9,190.36, 13,761.06 and 6,274.36

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Solution

The fourth proportional to 9,190.36, 13,761.06 and 6,274.36 is: 9,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.36 : 13,761.06 = 6,274.36 : x
  2. Step 2: Convert to fraction form
    9,190.36/13,761.06 = 6,274.36/x
  3. Step 3: Cross multiply
    9,190.36x = 13,761.06 × 6,274.36
  4. Step 4: Simplify right side
    9,190.36x = 86,341,844.42
  5. Step 5: Solve for x
    x = 86,341,844.42/9,190.36
  6. Step 6: Final answer
    x = 9,394.83

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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.