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Finding the Fourth Proportional to 9,158.63, 13,727.85 and 5,992.26

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Solution

The fourth proportional to 9,158.63, 13,727.85 and 5,992.26 is: 8,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.63 : 13,727.85 = 5,992.26 : x
  2. Step 2: Convert to fraction form
    9,158.63/13,727.85 = 5,992.26/x
  3. Step 3: Cross multiply
    9,158.63x = 13,727.85 × 5,992.26
  4. Step 4: Simplify right side
    9,158.63x = 82,260,816.48
  5. Step 5: Solve for x
    x = 82,260,816.48/9,158.63
  6. Step 6: Final answer
    x = 8,981.79

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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.