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Finding the Fourth Proportional to 9,287.90, 13,919.69 and 8,050.22

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Solution

The fourth proportional to 9,287.90, 13,919.69 and 8,050.22 is: 12,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.90 : 13,919.69 = 8,050.22 : x
  2. Step 2: Convert to fraction form
    9,287.90/13,919.69 = 8,050.22/x
  3. Step 3: Cross multiply
    9,287.90x = 13,919.69 × 8,050.22
  4. Step 4: Simplify right side
    9,287.90x = 112,056,517.36
  5. Step 5: Solve for x
    x = 112,056,517.36/9,287.90
  6. Step 6: Final answer
    x = 12,064.79

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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.