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Finding the Fourth Proportional to 6,441.82, 8,893.67 and 4,946.83

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Solution

The fourth proportional to 6,441.82, 8,893.67 and 4,946.83 is: 6,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.82 : 8,893.67 = 4,946.83 : x
  2. Step 2: Convert to fraction form
    6,441.82/8,893.67 = 4,946.83/x
  3. Step 3: Cross multiply
    6,441.82x = 8,893.67 × 4,946.83
  4. Step 4: Simplify right side
    6,441.82x = 43,995,426.60
  5. Step 5: Solve for x
    x = 43,995,426.60/6,441.82
  6. Step 6: Final answer
    x = 6,829.66

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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.