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Finding the Fourth Proportional to 11,794.34, 17,670.72 and 6,235.46

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Solution

The fourth proportional to 11,794.34, 17,670.72 and 6,235.46 is: 9,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.34 : 17,670.72 = 6,235.46 : x
  2. Step 2: Convert to fraction form
    11,794.34/17,670.72 = 6,235.46/x
  3. Step 3: Cross multiply
    11,794.34x = 17,670.72 × 6,235.46
  4. Step 4: Simplify right side
    11,794.34x = 110,185,067.73
  5. Step 5: Solve for x
    x = 110,185,067.73/11,794.34
  6. Step 6: Final answer
    x = 9,342.20

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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.