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Finding the Fourth Proportional to 9,912.96, 13,680 and 5,722.56

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Solution

The fourth proportional to 9,912.96, 13,680 and 5,722.56 is: 7,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.96 : 13,680 = 5,722.56 : x
  2. Step 2: Convert to fraction form
    9,912.96/13,680 = 5,722.56/x
  3. Step 3: Cross multiply
    9,912.96x = 13,680 × 5,722.56
  4. Step 4: Simplify right side
    9,912.96x = 78,284,620.80
  5. Step 5: Solve for x
    x = 78,284,620.80/9,912.96
  6. Step 6: Final answer
    x = 7,897.20

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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.