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Finding the Fourth Proportional to 9,662.25, 14,489.08 and 4,667.09

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Solution

The fourth proportional to 9,662.25, 14,489.08 and 4,667.09 is: 6,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.25 : 14,489.08 = 4,667.09 : x
  2. Step 2: Convert to fraction form
    9,662.25/14,489.08 = 4,667.09/x
  3. Step 3: Cross multiply
    9,662.25x = 14,489.08 × 4,667.09
  4. Step 4: Simplify right side
    9,662.25x = 67,621,756.26
  5. Step 5: Solve for x
    x = 67,621,756.26/9,662.25
  6. Step 6: Final answer
    x = 6,998.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.