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Finding the Fourth Proportional to 9,112.84, 13,669.26 and 5,214.49

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Solution

The fourth proportional to 9,112.84, 13,669.26 and 5,214.49 is: 7,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.84 : 13,669.26 = 5,214.49 : x
  2. Step 2: Convert to fraction form
    9,112.84/13,669.26 = 5,214.49/x
  3. Step 3: Cross multiply
    9,112.84x = 13,669.26 × 5,214.49
  4. Step 4: Simplify right side
    9,112.84x = 71,278,165.85
  5. Step 5: Solve for x
    x = 71,278,165.85/9,112.84
  6. Step 6: Final answer
    x = 7,821.73

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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.