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Finding the Fourth Proportional to 9,667.72, 14,482.14 and 5,041

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Solution

The fourth proportional to 9,667.72, 14,482.14 and 5,041 is: 7,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.72 : 14,482.14 = 5,041 : x
  2. Step 2: Convert to fraction form
    9,667.72/14,482.14 = 5,041/x
  3. Step 3: Cross multiply
    9,667.72x = 14,482.14 × 5,041
  4. Step 4: Simplify right side
    9,667.72x = 73,004,467.74
  5. Step 5: Solve for x
    x = 73,004,467.74/9,667.72
  6. Step 6: Final answer
    x = 7,551.36

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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.