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Finding the Fourth Proportional to 9,205.96, 12,704.26 and 5,014.22

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Solution

The fourth proportional to 9,205.96, 12,704.26 and 5,014.22 is: 6,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.96 : 12,704.26 = 5,014.22 : x
  2. Step 2: Convert to fraction form
    9,205.96/12,704.26 = 5,014.22/x
  3. Step 3: Cross multiply
    9,205.96x = 12,704.26 × 5,014.22
  4. Step 4: Simplify right side
    9,205.96x = 63,701,954.58
  5. Step 5: Solve for x
    x = 63,701,954.58/9,205.96
  6. Step 6: Final answer
    x = 6,919.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.