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Finding the Fourth Proportional to 6,553.80, 9,827.34 and 1,936.20

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Solution

The fourth proportional to 6,553.80, 9,827.34 and 1,936.20 is: 2,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.80 : 9,827.34 = 1,936.20 : x
  2. Step 2: Convert to fraction form
    6,553.80/9,827.34 = 1,936.20/x
  3. Step 3: Cross multiply
    6,553.80x = 9,827.34 × 1,936.20
  4. Step 4: Simplify right side
    6,553.80x = 19,027,695.71
  5. Step 5: Solve for x
    x = 19,027,695.71/6,553.80
  6. Step 6: Final answer
    x = 2,903.31

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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.