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Finding the Fourth Proportional to 9,195.67, 13,776.15 and 5,436.22

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Solution

The fourth proportional to 9,195.67, 13,776.15 and 5,436.22 is: 8,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.67 : 13,776.15 = 5,436.22 : x
  2. Step 2: Convert to fraction form
    9,195.67/13,776.15 = 5,436.22/x
  3. Step 3: Cross multiply
    9,195.67x = 13,776.15 × 5,436.22
  4. Step 4: Simplify right side
    9,195.67x = 74,890,182.15
  5. Step 5: Solve for x
    x = 74,890,182.15/9,195.67
  6. Step 6: Final answer
    x = 8,144.07

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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.