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Finding the Fourth Proportional to 6,423.21, 9,634.82 and 3,950.55

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Solution

The fourth proportional to 6,423.21, 9,634.82 and 3,950.55 is: 5,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.21 : 9,634.82 = 3,950.55 : x
  2. Step 2: Convert to fraction form
    6,423.21/9,634.82 = 3,950.55/x
  3. Step 3: Cross multiply
    6,423.21x = 9,634.82 × 3,950.55
  4. Step 4: Simplify right side
    6,423.21x = 38,062,818.40
  5. Step 5: Solve for x
    x = 38,062,818.40/6,423.21
  6. Step 6: Final answer
    x = 5,925.83

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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.