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Finding the Fourth Proportional to 7,049.09, 9,727.88 and 4,064.42

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Solution

The fourth proportional to 7,049.09, 9,727.88 and 4,064.42 is: 5,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.09 : 9,727.88 = 4,064.42 : x
  2. Step 2: Convert to fraction form
    7,049.09/9,727.88 = 4,064.42/x
  3. Step 3: Cross multiply
    7,049.09x = 9,727.88 × 4,064.42
  4. Step 4: Simplify right side
    7,049.09x = 39,538,121.07
  5. Step 5: Solve for x
    x = 39,538,121.07/7,049.09
  6. Step 6: Final answer
    x = 5,608.97

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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.