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Finding the Fourth Proportional to 7,049.69, 9,727.86 and 4,216.49

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Solution

The fourth proportional to 7,049.69, 9,727.86 and 4,216.49 is: 5,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.69 : 9,727.86 = 4,216.49 : x
  2. Step 2: Convert to fraction form
    7,049.69/9,727.86 = 4,216.49/x
  3. Step 3: Cross multiply
    7,049.69x = 9,727.86 × 4,216.49
  4. Step 4: Simplify right side
    7,049.69x = 41,017,375.77
  5. Step 5: Solve for x
    x = 41,017,375.77/7,049.69
  6. Step 6: Final answer
    x = 5,818.33

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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.