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Finding the Fourth Proportional to 6,422.64, 8,863.40 and 3,628.08

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Solution

The fourth proportional to 6,422.64, 8,863.40 and 3,628.08 is: 5,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.64 : 8,863.40 = 3,628.08 : x
  2. Step 2: Convert to fraction form
    6,422.64/8,863.40 = 3,628.08/x
  3. Step 3: Cross multiply
    6,422.64x = 8,863.40 × 3,628.08
  4. Step 4: Simplify right side
    6,422.64x = 32,157,124.27
  5. Step 5: Solve for x
    x = 32,157,124.27/6,422.64
  6. Step 6: Final answer
    x = 5,006.84

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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.