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Finding the Fourth Proportional to 9,230.45, 13,843.04 and 3,607.16

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Solution

The fourth proportional to 9,230.45, 13,843.04 and 3,607.16 is: 5,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.45 : 13,843.04 = 3,607.16 : x
  2. Step 2: Convert to fraction form
    9,230.45/13,843.04 = 3,607.16/x
  3. Step 3: Cross multiply
    9,230.45x = 13,843.04 × 3,607.16
  4. Step 4: Simplify right side
    9,230.45x = 49,933,972.92
  5. Step 5: Solve for x
    x = 49,933,972.92/9,230.45
  6. Step 6: Final answer
    x = 5,409.70

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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.