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Finding the Fourth Proportional to 6,827.64, 9,421.79 and 3,843.38

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Solution

The fourth proportional to 6,827.64, 9,421.79 and 3,843.38 is: 5,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.64 : 9,421.79 = 3,843.38 : x
  2. Step 2: Convert to fraction form
    6,827.64/9,421.79 = 3,843.38/x
  3. Step 3: Cross multiply
    6,827.64x = 9,421.79 × 3,843.38
  4. Step 4: Simplify right side
    6,827.64x = 36,211,452.92
  5. Step 5: Solve for x
    x = 36,211,452.92/6,827.64
  6. Step 6: Final answer
    x = 5,303.66

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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.