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Finding the Fourth Proportional to 6,446.14, 8,896.77 and 5,397.82

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Solution

The fourth proportional to 6,446.14, 8,896.77 and 5,397.82 is: 7,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.14 : 8,896.77 = 5,397.82 : x
  2. Step 2: Convert to fraction form
    6,446.14/8,896.77 = 5,397.82/x
  3. Step 3: Cross multiply
    6,446.14x = 8,896.77 × 5,397.82
  4. Step 4: Simplify right side
    6,446.14x = 48,023,163.04
  5. Step 5: Solve for x
    x = 48,023,163.04/6,446.14
  6. Step 6: Final answer
    x = 7,449.91

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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.