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Finding the Fourth Proportional to 9,309.94, 12,847.82 and 5,118.19

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Solution

The fourth proportional to 9,309.94, 12,847.82 and 5,118.19 is: 7,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.94 : 12,847.82 = 5,118.19 : x
  2. Step 2: Convert to fraction form
    9,309.94/12,847.82 = 5,118.19/x
  3. Step 3: Cross multiply
    9,309.94x = 12,847.82 × 5,118.19
  4. Step 4: Simplify right side
    9,309.94x = 65,757,526.14
  5. Step 5: Solve for x
    x = 65,757,526.14/9,309.94
  6. Step 6: Final answer
    x = 7,063.15

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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.