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Finding the Fourth Proportional to 6,896.63, 9,517.35 and 3,752.82

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Solution

The fourth proportional to 6,896.63, 9,517.35 and 3,752.82 is: 5,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.63 : 9,517.35 = 3,752.82 : x
  2. Step 2: Convert to fraction form
    6,896.63/9,517.35 = 3,752.82/x
  3. Step 3: Cross multiply
    6,896.63x = 9,517.35 × 3,752.82
  4. Step 4: Simplify right side
    6,896.63x = 35,716,901.43
  5. Step 5: Solve for x
    x = 35,716,901.43/6,896.63
  6. Step 6: Final answer
    x = 5,178.90

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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.