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Finding the Fourth Proportional to 9,205.81, 12,704.27 and 5,014.33

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Solution

The fourth proportional to 9,205.81, 12,704.27 and 5,014.33 is: 6,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.81 : 12,704.27 = 5,014.33 : x
  2. Step 2: Convert to fraction form
    9,205.81/12,704.27 = 5,014.33/x
  3. Step 3: Cross multiply
    9,205.81x = 12,704.27 × 5,014.33
  4. Step 4: Simplify right side
    9,205.81x = 63,703,377.12
  5. Step 5: Solve for x
    x = 63,703,377.12/9,205.81
  6. Step 6: Final answer
    x = 6,919.91

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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.