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Finding the Fourth Proportional to 6,696.83, 9,238.83 and 3,863.77

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Solution

The fourth proportional to 6,696.83, 9,238.83 and 3,863.77 is: 5,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.83 : 9,238.83 = 3,863.77 : x
  2. Step 2: Convert to fraction form
    6,696.83/9,238.83 = 3,863.77/x
  3. Step 3: Cross multiply
    6,696.83x = 9,238.83 × 3,863.77
  4. Step 4: Simplify right side
    6,696.83x = 35,696,714.19
  5. Step 5: Solve for x
    x = 35,696,714.19/6,696.83
  6. Step 6: Final answer
    x = 5,330.39

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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.