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Finding the Fourth Proportional to 6,152.00, 9,229.34 and 1,992.42

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Solution

The fourth proportional to 6,152.00, 9,229.34 and 1,992.42 is: 2,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.00 : 9,229.34 = 1,992.42 : x
  2. Step 2: Convert to fraction form
    6,152.00/9,229.34 = 1,992.42/x
  3. Step 3: Cross multiply
    6,152.00x = 9,229.34 × 1,992.42
  4. Step 4: Simplify right side
    6,152.00x = 18,388,726.58
  5. Step 5: Solve for x
    x = 18,388,726.58/6,152.00
  6. Step 6: Final answer
    x = 2,989.07

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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.