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Finding the Fourth Proportional to 9,750.96, 13,452.84 and 5,972.76

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Solution

The fourth proportional to 9,750.96, 13,452.84 and 5,972.76 is: 8,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.96 : 13,452.84 = 5,972.76 : x
  2. Step 2: Convert to fraction form
    9,750.96/13,452.84 = 5,972.76/x
  3. Step 3: Cross multiply
    9,750.96x = 13,452.84 × 5,972.76
  4. Step 4: Simplify right side
    9,750.96x = 80,350,584.64
  5. Step 5: Solve for x
    x = 80,350,584.64/9,750.96
  6. Step 6: Final answer
    x = 8,240.27

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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.