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Finding the Fourth Proportional to 9,212.68, 13,823.10 and 4,829.09

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Solution

The fourth proportional to 9,212.68, 13,823.10 and 4,829.09 is: 7,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.68 : 13,823.10 = 4,829.09 : x
  2. Step 2: Convert to fraction form
    9,212.68/13,823.10 = 4,829.09/x
  3. Step 3: Cross multiply
    9,212.68x = 13,823.10 × 4,829.09
  4. Step 4: Simplify right side
    9,212.68x = 66,752,993.98
  5. Step 5: Solve for x
    x = 66,752,993.98/9,212.68
  6. Step 6: Final answer
    x = 7,245.77

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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.