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Finding the Fourth Proportional to 6,872.28, 9,483.80 and 3,728.48

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Solution

The fourth proportional to 6,872.28, 9,483.80 and 3,728.48 is: 5,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.28 : 9,483.80 = 3,728.48 : x
  2. Step 2: Convert to fraction form
    6,872.28/9,483.80 = 3,728.48/x
  3. Step 3: Cross multiply
    6,872.28x = 9,483.80 × 3,728.48
  4. Step 4: Simplify right side
    6,872.28x = 35,360,158.62
  5. Step 5: Solve for x
    x = 35,360,158.62/6,872.28
  6. Step 6: Final answer
    x = 5,145.33

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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.