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Finding the Fourth Proportional to 9,724.06, 13,410.48 and 8,230.42

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Solution

The fourth proportional to 9,724.06, 13,410.48 and 8,230.42 is: 11,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.06 : 13,410.48 = 8,230.42 : x
  2. Step 2: Convert to fraction form
    9,724.06/13,410.48 = 8,230.42/x
  3. Step 3: Cross multiply
    9,724.06x = 13,410.48 × 8,230.42
  4. Step 4: Simplify right side
    9,724.06x = 110,373,882.80
  5. Step 5: Solve for x
    x = 110,373,882.80/9,724.06
  6. Step 6: Final answer
    x = 11,350.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.