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Finding the Fourth Proportional to 6,426.54, 9,638.83 and 2,210.43

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Solution

The fourth proportional to 6,426.54, 9,638.83 and 2,210.43 is: 3,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.54 : 9,638.83 = 2,210.43 : x
  2. Step 2: Convert to fraction form
    6,426.54/9,638.83 = 2,210.43/x
  3. Step 3: Cross multiply
    6,426.54x = 9,638.83 × 2,210.43
  4. Step 4: Simplify right side
    6,426.54x = 21,305,937.22
  5. Step 5: Solve for x
    x = 21,305,937.22/6,426.54
  6. Step 6: Final answer
    x = 3,315.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.