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Finding the Fourth Proportional to 6,395.94, 8,826.11 and 3,563.16

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Solution

The fourth proportional to 6,395.94, 8,826.11 and 3,563.16 is: 4,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.94 : 8,826.11 = 3,563.16 : x
  2. Step 2: Convert to fraction form
    6,395.94/8,826.11 = 3,563.16/x
  3. Step 3: Cross multiply
    6,395.94x = 8,826.11 × 3,563.16
  4. Step 4: Simplify right side
    6,395.94x = 31,448,824.29
  5. Step 5: Solve for x
    x = 31,448,824.29/6,395.94
  6. Step 6: Final answer
    x = 4,917.00

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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.