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Finding the Fourth Proportional to 6,446.05, 8,893.47 and 3,794.11

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Solution

The fourth proportional to 6,446.05, 8,893.47 and 3,794.11 is: 5,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.05 : 8,893.47 = 3,794.11 : x
  2. Step 2: Convert to fraction form
    6,446.05/8,893.47 = 3,794.11/x
  3. Step 3: Cross multiply
    6,446.05x = 8,893.47 × 3,794.11
  4. Step 4: Simplify right side
    6,446.05x = 33,742,803.46
  5. Step 5: Solve for x
    x = 33,742,803.46/6,446.05
  6. Step 6: Final answer
    x = 5,234.65

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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.