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Finding the Fourth Proportional to 9,265.85, 12,806.87 and 8,196.05

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Solution

The fourth proportional to 9,265.85, 12,806.87 and 8,196.05 is: 11,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.85 : 12,806.87 = 8,196.05 : x
  2. Step 2: Convert to fraction form
    9,265.85/12,806.87 = 8,196.05/x
  3. Step 3: Cross multiply
    9,265.85x = 12,806.87 × 8,196.05
  4. Step 4: Simplify right side
    9,265.85x = 104,965,641.85
  5. Step 5: Solve for x
    x = 104,965,641.85/9,265.85
  6. Step 6: Final answer
    x = 11,328.23

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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.