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Finding the Fourth Proportional to 7,049.42, 9,728.37 and 3,905.78

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Solution

The fourth proportional to 7,049.42, 9,728.37 and 3,905.78 is: 5,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.42 : 9,728.37 = 3,905.78 : x
  2. Step 2: Convert to fraction form
    7,049.42/9,728.37 = 3,905.78/x
  3. Step 3: Cross multiply
    7,049.42x = 9,728.37 × 3,905.78
  4. Step 4: Simplify right side
    7,049.42x = 37,996,872.98
  5. Step 5: Solve for x
    x = 37,996,872.98/7,049.42
  6. Step 6: Final answer
    x = 5,390.07

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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.