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Finding the Fourth Proportional to 6,213.22, 8,573.85 and 3,854.50

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Solution

The fourth proportional to 6,213.22, 8,573.85 and 3,854.50 is: 5,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.22 : 8,573.85 = 3,854.50 : x
  2. Step 2: Convert to fraction form
    6,213.22/8,573.85 = 3,854.50/x
  3. Step 3: Cross multiply
    6,213.22x = 8,573.85 × 3,854.50
  4. Step 4: Simplify right side
    6,213.22x = 33,047,904.83
  5. Step 5: Solve for x
    x = 33,047,904.83/6,213.22
  6. Step 6: Final answer
    x = 5,318.97

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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.