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Finding the Fourth Proportional to 6,395.64, 8,826.66 and 3,563.04

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Solution

The fourth proportional to 6,395.64, 8,826.66 and 3,563.04 is: 4,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.64 : 8,826.66 = 3,563.04 : x
  2. Step 2: Convert to fraction form
    6,395.64/8,826.66 = 3,563.04/x
  3. Step 3: Cross multiply
    6,395.64x = 8,826.66 × 3,563.04
  4. Step 4: Simplify right side
    6,395.64x = 31,449,742.65
  5. Step 5: Solve for x
    x = 31,449,742.65/6,395.64
  6. Step 6: Final answer
    x = 4,917.37

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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.