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Finding the Fourth Proportional to 9,912.44, 13,679.34 and 5,720.84

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Solution

The fourth proportional to 9,912.44, 13,679.34 and 5,720.84 is: 7,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.44 : 13,679.34 = 5,720.84 : x
  2. Step 2: Convert to fraction form
    9,912.44/13,679.34 = 5,720.84/x
  3. Step 3: Cross multiply
    9,912.44x = 13,679.34 × 5,720.84
  4. Step 4: Simplify right side
    9,912.44x = 78,257,315.45
  5. Step 5: Solve for x
    x = 78,257,315.45/9,912.44
  6. Step 6: Final answer
    x = 7,894.86

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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.