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Finding the Fourth Proportional to 6,896.12, 9,515.01 and 4,063.65

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Solution

The fourth proportional to 6,896.12, 9,515.01 and 4,063.65 is: 5,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.12 : 9,515.01 = 4,063.65 : x
  2. Step 2: Convert to fraction form
    6,896.12/9,515.01 = 4,063.65/x
  3. Step 3: Cross multiply
    6,896.12x = 9,515.01 × 4,063.65
  4. Step 4: Simplify right side
    6,896.12x = 38,665,670.39
  5. Step 5: Solve for x
    x = 38,665,670.39/6,896.12
  6. Step 6: Final answer
    x = 5,606.88

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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.