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Finding the Fourth Proportional to 9,204.84, 13,786.92 and 5,247

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Solution

The fourth proportional to 9,204.84, 13,786.92 and 5,247 is: 7,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.84 : 13,786.92 = 5,247 : x
  2. Step 2: Convert to fraction form
    9,204.84/13,786.92 = 5,247/x
  3. Step 3: Cross multiply
    9,204.84x = 13,786.92 × 5,247
  4. Step 4: Simplify right side
    9,204.84x = 72,339,969.24
  5. Step 5: Solve for x
    x = 72,339,969.24/9,204.84
  6. Step 6: Final answer
    x = 7,858.91

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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.