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Finding the Fourth Proportional to 9,512.82, 13,124.43 and 5,734.56

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Solution

The fourth proportional to 9,512.82, 13,124.43 and 5,734.56 is: 7,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.82 : 13,124.43 = 5,734.56 : x
  2. Step 2: Convert to fraction form
    9,512.82/13,124.43 = 5,734.56/x
  3. Step 3: Cross multiply
    9,512.82x = 13,124.43 × 5,734.56
  4. Step 4: Simplify right side
    9,512.82x = 75,262,831.30
  5. Step 5: Solve for x
    x = 75,262,831.30/9,512.82
  6. Step 6: Final answer
    x = 7,911.73

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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.