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Finding the Fourth Proportional to 9,267.85, 12,809.63 and 8,198.05

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Solution

The fourth proportional to 9,267.85, 12,809.63 and 8,198.05 is: 11,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.85 : 12,809.63 = 8,198.05 : x
  2. Step 2: Convert to fraction form
    9,267.85/12,809.63 = 8,198.05/x
  3. Step 3: Cross multiply
    9,267.85x = 12,809.63 × 8,198.05
  4. Step 4: Simplify right side
    9,267.85x = 105,013,987.22
  5. Step 5: Solve for x
    x = 105,013,987.22/9,267.85
  6. Step 6: Final answer
    x = 11,331.00

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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.