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Finding the Fourth Proportional to 6,811.42, 9,399.55 and 3,827.18

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Solution

The fourth proportional to 6,811.42, 9,399.55 and 3,827.18 is: 5,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.42 : 9,399.55 = 3,827.18 : x
  2. Step 2: Convert to fraction form
    6,811.42/9,399.55 = 3,827.18/x
  3. Step 3: Cross multiply
    6,811.42x = 9,399.55 × 3,827.18
  4. Step 4: Simplify right side
    6,811.42x = 35,973,769.77
  5. Step 5: Solve for x
    x = 35,973,769.77/6,811.42
  6. Step 6: Final answer
    x = 5,281.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.