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Finding the Fourth Proportional to 6,380.47, 8,806.79 and 4,142.23

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Solution

The fourth proportional to 6,380.47, 8,806.79 and 4,142.23 is: 5,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.47 : 8,806.79 = 4,142.23 : x
  2. Step 2: Convert to fraction form
    6,380.47/8,806.79 = 4,142.23/x
  3. Step 3: Cross multiply
    6,380.47x = 8,806.79 × 4,142.23
  4. Step 4: Simplify right side
    6,380.47x = 36,479,749.74
  5. Step 5: Solve for x
    x = 36,479,749.74/6,380.47
  6. Step 6: Final answer
    x = 5,717.41

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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.