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Finding the Fourth Proportional to 6,129.41, 8,447.09 and 4,357.94

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Solution

The fourth proportional to 6,129.41, 8,447.09 and 4,357.94 is: 6,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.41 : 8,447.09 = 4,357.94 : x
  2. Step 2: Convert to fraction form
    6,129.41/8,447.09 = 4,357.94/x
  3. Step 3: Cross multiply
    6,129.41x = 8,447.09 × 4,357.94
  4. Step 4: Simplify right side
    6,129.41x = 36,811,847.37
  5. Step 5: Solve for x
    x = 36,811,847.37/6,129.41
  6. Step 6: Final answer
    x = 6,005.78

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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.