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Finding the Fourth Proportional to 9,667.09, 14,500.68 and 4,119.40

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Solution

The fourth proportional to 9,667.09, 14,500.68 and 4,119.40 is: 6,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.09 : 14,500.68 = 4,119.40 : x
  2. Step 2: Convert to fraction form
    9,667.09/14,500.68 = 4,119.40/x
  3. Step 3: Cross multiply
    9,667.09x = 14,500.68 × 4,119.40
  4. Step 4: Simplify right side
    9,667.09x = 59,734,101.19
  5. Step 5: Solve for x
    x = 59,734,101.19/9,667.09
  6. Step 6: Final answer
    x = 6,179.12

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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.