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Finding the Fourth Proportional to 9,409.94, 12,986.30 and 5,218.19

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Solution

The fourth proportional to 9,409.94, 12,986.30 and 5,218.19 is: 7,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.94 : 12,986.30 = 5,218.19 : x
  2. Step 2: Convert to fraction form
    9,409.94/12,986.30 = 5,218.19/x
  3. Step 3: Cross multiply
    9,409.94x = 12,986.30 × 5,218.19
  4. Step 4: Simplify right side
    9,409.94x = 67,764,889.77
  5. Step 5: Solve for x
    x = 67,764,889.77/9,409.94
  6. Step 6: Final answer
    x = 7,201.42

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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.