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Finding the Fourth Proportional to 9,667.55, 14,501.19 and 3,824.09

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Solution

The fourth proportional to 9,667.55, 14,501.19 and 3,824.09 is: 5,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.55 : 14,501.19 = 3,824.09 : x
  2. Step 2: Convert to fraction form
    9,667.55/14,501.19 = 3,824.09/x
  3. Step 3: Cross multiply
    9,667.55x = 14,501.19 × 3,824.09
  4. Step 4: Simplify right side
    9,667.55x = 55,453,855.67
  5. Step 5: Solve for x
    x = 55,453,855.67/9,667.55
  6. Step 6: Final answer
    x = 5,736.08

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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.