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Finding the Fourth Proportional to 6,446.28, 8,895.81 and 5,917.31

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Solution

The fourth proportional to 6,446.28, 8,895.81 and 5,917.31 is: 8,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.28 : 8,895.81 = 5,917.31 : x
  2. Step 2: Convert to fraction form
    6,446.28/8,895.81 = 5,917.31/x
  3. Step 3: Cross multiply
    6,446.28x = 8,895.81 × 5,917.31
  4. Step 4: Simplify right side
    6,446.28x = 52,639,265.47
  5. Step 5: Solve for x
    x = 52,639,265.47/6,446.28
  6. Step 6: Final answer
    x = 8,165.84

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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.