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Finding the Fourth Proportional to 6,331.36, 8,734.80 and 3,678.28

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Solution

The fourth proportional to 6,331.36, 8,734.80 and 3,678.28 is: 5,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.36 : 8,734.80 = 3,678.28 : x
  2. Step 2: Convert to fraction form
    6,331.36/8,734.80 = 3,678.28/x
  3. Step 3: Cross multiply
    6,331.36x = 8,734.80 × 3,678.28
  4. Step 4: Simplify right side
    6,331.36x = 32,129,040.14
  5. Step 5: Solve for x
    x = 32,129,040.14/6,331.36
  6. Step 6: Final answer
    x = 5,074.59

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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.