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Finding the Fourth Proportional to 6,872.71, 9,484.34 and 3,728.89

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Solution

The fourth proportional to 6,872.71, 9,484.34 and 3,728.89 is: 5,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.71 : 9,484.34 = 3,728.89 : x
  2. Step 2: Convert to fraction form
    6,872.71/9,484.34 = 3,728.89/x
  3. Step 3: Cross multiply
    6,872.71x = 9,484.34 × 3,728.89
  4. Step 4: Simplify right side
    6,872.71x = 35,366,041.94
  5. Step 5: Solve for x
    x = 35,366,041.94/6,872.71
  6. Step 6: Final answer
    x = 5,145.87

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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.