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Finding the Fourth Proportional to 7,769.90, 11,645.12 and 6,119.94

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Solution

The fourth proportional to 7,769.90, 11,645.12 and 6,119.94 is: 9,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.90 : 11,645.12 = 6,119.94 : x
  2. Step 2: Convert to fraction form
    7,769.90/11,645.12 = 6,119.94/x
  3. Step 3: Cross multiply
    7,769.90x = 11,645.12 × 6,119.94
  4. Step 4: Simplify right side
    7,769.90x = 71,267,435.69
  5. Step 5: Solve for x
    x = 71,267,435.69/7,769.90
  6. Step 6: Final answer
    x = 9,172.25

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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.