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Finding the Fourth Proportional to 9,811.84, 14,716.32 and 3,238.24

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Solution

The fourth proportional to 9,811.84, 14,716.32 and 3,238.24 is: 4,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.84 : 14,716.32 = 3,238.24 : x
  2. Step 2: Convert to fraction form
    9,811.84/14,716.32 = 3,238.24/x
  3. Step 3: Cross multiply
    9,811.84x = 14,716.32 × 3,238.24
  4. Step 4: Simplify right side
    9,811.84x = 47,654,976.08
  5. Step 5: Solve for x
    x = 47,654,976.08/9,811.84
  6. Step 6: Final answer
    x = 4,856.88

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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.