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Finding the Fourth Proportional to 7,049.08, 9,727.24 and 3,905

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Solution

The fourth proportional to 7,049.08, 9,727.24 and 3,905 is: 5,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.08 : 9,727.24 = 3,905 : x
  2. Step 2: Convert to fraction form
    7,049.08/9,727.24 = 3,905/x
  3. Step 3: Cross multiply
    7,049.08x = 9,727.24 × 3,905
  4. Step 4: Simplify right side
    7,049.08x = 37,984,872.20
  5. Step 5: Solve for x
    x = 37,984,872.20/7,049.08
  6. Step 6: Final answer
    x = 5,388.63

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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.