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Finding the Fourth Proportional to 9,882.27, 14,824.44 and 3,219.28

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Solution

The fourth proportional to 9,882.27, 14,824.44 and 3,219.28 is: 4,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.27 : 14,824.44 = 3,219.28 : x
  2. Step 2: Convert to fraction form
    9,882.27/14,824.44 = 3,219.28/x
  3. Step 3: Cross multiply
    9,882.27x = 14,824.44 × 3,219.28
  4. Step 4: Simplify right side
    9,882.27x = 47,724,037.36
  5. Step 5: Solve for x
    x = 47,724,037.36/9,882.27
  6. Step 6: Final answer
    x = 4,829.26

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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.