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Finding the Fourth Proportional to 6,422.66, 8,863.32 and 3,628.16

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Solution

The fourth proportional to 6,422.66, 8,863.32 and 3,628.16 is: 5,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.66 : 8,863.32 = 3,628.16 : x
  2. Step 2: Convert to fraction form
    6,422.66/8,863.32 = 3,628.16/x
  3. Step 3: Cross multiply
    6,422.66x = 8,863.32 × 3,628.16
  4. Step 4: Simplify right side
    6,422.66x = 32,157,498.77
  5. Step 5: Solve for x
    x = 32,157,498.77/6,422.66
  6. Step 6: Final answer
    x = 5,006.89

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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.