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Finding the Fourth Proportional to 6,872.75, 9,484.86 and 3,888.57

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Solution

The fourth proportional to 6,872.75, 9,484.86 and 3,888.57 is: 5,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.75 : 9,484.86 = 3,888.57 : x
  2. Step 2: Convert to fraction form
    6,872.75/9,484.86 = 3,888.57/x
  3. Step 3: Cross multiply
    6,872.75x = 9,484.86 × 3,888.57
  4. Step 4: Simplify right side
    6,872.75x = 36,882,542.05
  5. Step 5: Solve for x
    x = 36,882,542.05/6,872.75
  6. Step 6: Final answer
    x = 5,366.49

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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.