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Finding the Fourth Proportional to 9,185.99, 12,676.61 and 5,409.11

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Solution

The fourth proportional to 9,185.99, 12,676.61 and 5,409.11 is: 7,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.99 : 12,676.61 = 5,409.11 : x
  2. Step 2: Convert to fraction form
    9,185.99/12,676.61 = 5,409.11/x
  3. Step 3: Cross multiply
    9,185.99x = 12,676.61 × 5,409.11
  4. Step 4: Simplify right side
    9,185.99x = 68,569,087.49
  5. Step 5: Solve for x
    x = 68,569,087.49/9,185.99
  6. Step 6: Final answer
    x = 7,464.53

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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.