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Finding the Fourth Proportional to 6,378.14, 8,806.22 and 3,989.15

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Solution

The fourth proportional to 6,378.14, 8,806.22 and 3,989.15 is: 5,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.14 : 8,806.22 = 3,989.15 : x
  2. Step 2: Convert to fraction form
    6,378.14/8,806.22 = 3,989.15/x
  3. Step 3: Cross multiply
    6,378.14x = 8,806.22 × 3,989.15
  4. Step 4: Simplify right side
    6,378.14x = 35,129,312.57
  5. Step 5: Solve for x
    x = 35,129,312.57/6,378.14
  6. Step 6: Final answer
    x = 5,507.77

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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.