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Finding the Fourth Proportional to 6,422.28, 8,863.54 and 3,627.76

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Solution

The fourth proportional to 6,422.28, 8,863.54 and 3,627.76 is: 5,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.28 : 8,863.54 = 3,627.76 : x
  2. Step 2: Convert to fraction form
    6,422.28/8,863.54 = 3,627.76/x
  3. Step 3: Cross multiply
    6,422.28x = 8,863.54 × 3,627.76
  4. Step 4: Simplify right side
    6,422.28x = 32,154,795.87
  5. Step 5: Solve for x
    x = 32,154,795.87/6,422.28
  6. Step 6: Final answer
    x = 5,006.76

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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.