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Finding the Fourth Proportional to 6,362.82, 8,770.86 and 4,234.86

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Solution

The fourth proportional to 6,362.82, 8,770.86 and 4,234.86 is: 5,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.82 : 8,770.86 = 4,234.86 : x
  2. Step 2: Convert to fraction form
    6,362.82/8,770.86 = 4,234.86/x
  3. Step 3: Cross multiply
    6,362.82x = 8,770.86 × 4,234.86
  4. Step 4: Simplify right side
    6,362.82x = 37,143,364.18
  5. Step 5: Solve for x
    x = 37,143,364.18/6,362.82
  6. Step 6: Final answer
    x = 5,837.56

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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.