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Finding the Fourth Proportional to 6,192.56, 9,289.44 and 2,032.58

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Solution

The fourth proportional to 6,192.56, 9,289.44 and 2,032.58 is: 3,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.56 : 9,289.44 = 2,032.58 : x
  2. Step 2: Convert to fraction form
    6,192.56/9,289.44 = 2,032.58/x
  3. Step 3: Cross multiply
    6,192.56x = 9,289.44 × 2,032.58
  4. Step 4: Simplify right side
    6,192.56x = 18,881,553.18
  5. Step 5: Solve for x
    x = 18,881,553.18/6,192.56
  6. Step 6: Final answer
    x = 3,049.07

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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.