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Finding the Fourth Proportional to 7,049.35, 9,727.42 and 4,216.15

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Solution

The fourth proportional to 7,049.35, 9,727.42 and 4,216.15 is: 5,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.35 : 9,727.42 = 4,216.15 : x
  2. Step 2: Convert to fraction form
    7,049.35/9,727.42 = 4,216.15/x
  3. Step 3: Cross multiply
    7,049.35x = 9,727.42 × 4,216.15
  4. Step 4: Simplify right side
    7,049.35x = 41,012,261.83
  5. Step 5: Solve for x
    x = 41,012,261.83/7,049.35
  6. Step 6: Final answer
    x = 5,817.88

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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.