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Finding the Fourth Proportional to 6,370.83, 9,536.22 and 4,022.71

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Solution

The fourth proportional to 6,370.83, 9,536.22 and 4,022.71 is: 6,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.83 : 9,536.22 = 4,022.71 : x
  2. Step 2: Convert to fraction form
    6,370.83/9,536.22 = 4,022.71/x
  3. Step 3: Cross multiply
    6,370.83x = 9,536.22 × 4,022.71
  4. Step 4: Simplify right side
    6,370.83x = 38,361,423.72
  5. Step 5: Solve for x
    x = 38,361,423.72/6,370.83
  6. Step 6: Final answer
    x = 6,021.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.