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Finding the Fourth Proportional to 6,367.02, 9,534.60 and 4,019.94

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Solution

The fourth proportional to 6,367.02, 9,534.60 and 4,019.94 is: 6,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.02 : 9,534.60 = 4,019.94 : x
  2. Step 2: Convert to fraction form
    6,367.02/9,534.60 = 4,019.94/x
  3. Step 3: Cross multiply
    6,367.02x = 9,534.60 × 4,019.94
  4. Step 4: Simplify right side
    6,367.02x = 38,328,519.92
  5. Step 5: Solve for x
    x = 38,328,519.92/6,367.02
  6. Step 6: Final answer
    x = 6,019.85

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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.