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Finding the Fourth Proportional to 6,284.27, 9,421.74 and 3,161.99

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Solution

The fourth proportional to 6,284.27, 9,421.74 and 3,161.99 is: 4,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.27 : 9,421.74 = 3,161.99 : x
  2. Step 2: Convert to fraction form
    6,284.27/9,421.74 = 3,161.99/x
  3. Step 3: Cross multiply
    6,284.27x = 9,421.74 × 3,161.99
  4. Step 4: Simplify right side
    6,284.27x = 29,791,400.55
  5. Step 5: Solve for x
    x = 29,791,400.55/6,284.27
  6. Step 6: Final answer
    x = 4,740.63

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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.