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Finding the Fourth Proportional to 6,814.63, 9,403.72 and 3,830.91

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Solution

The fourth proportional to 6,814.63, 9,403.72 and 3,830.91 is: 5,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.63 : 9,403.72 = 3,830.91 : x
  2. Step 2: Convert to fraction form
    6,814.63/9,403.72 = 3,830.91/x
  3. Step 3: Cross multiply
    6,814.63x = 9,403.72 × 3,830.91
  4. Step 4: Simplify right side
    6,814.63x = 36,024,785.83
  5. Step 5: Solve for x
    x = 36,024,785.83/6,814.63
  6. Step 6: Final answer
    x = 5,286.39

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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.