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Finding the Fourth Proportional to 6,496.56, 9,743.81 and 1,816.07

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Solution

The fourth proportional to 6,496.56, 9,743.81 and 1,816.07 is: 2,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.56 : 9,743.81 = 1,816.07 : x
  2. Step 2: Convert to fraction form
    6,496.56/9,743.81 = 1,816.07/x
  3. Step 3: Cross multiply
    6,496.56x = 9,743.81 × 1,816.07
  4. Step 4: Simplify right side
    6,496.56x = 17,695,383.23
  5. Step 5: Solve for x
    x = 17,695,383.23/6,496.56
  6. Step 6: Final answer
    x = 2,723.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.