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Finding the Fourth Proportional to 6,908.15, 9,533.25 and 3,764.34

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Solution

The fourth proportional to 6,908.15, 9,533.25 and 3,764.34 is: 5,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.15 : 9,533.25 = 3,764.34 : x
  2. Step 2: Convert to fraction form
    6,908.15/9,533.25 = 3,764.34/x
  3. Step 3: Cross multiply
    6,908.15x = 9,533.25 × 3,764.34
  4. Step 4: Simplify right side
    6,908.15x = 35,886,327.82
  5. Step 5: Solve for x
    x = 35,886,327.82/6,908.15
  6. Step 6: Final answer
    x = 5,194.78

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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.