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Finding the Fourth Proportional to 6,796.12, 9,378.74 and 4,106.97

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Solution

The fourth proportional to 6,796.12, 9,378.74 and 4,106.97 is: 5,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.12 : 9,378.74 = 4,106.97 : x
  2. Step 2: Convert to fraction form
    6,796.12/9,378.74 = 4,106.97/x
  3. Step 3: Cross multiply
    6,796.12x = 9,378.74 × 4,106.97
  4. Step 4: Simplify right side
    6,796.12x = 38,518,203.82
  5. Step 5: Solve for x
    x = 38,518,203.82/6,796.12
  6. Step 6: Final answer
    x = 5,667.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.