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Finding the Fourth Proportional to 9,694.77, 14,543.99 and 3,119.19

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Solution

The fourth proportional to 9,694.77, 14,543.99 and 3,119.19 is: 4,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.77 : 14,543.99 = 3,119.19 : x
  2. Step 2: Convert to fraction form
    9,694.77/14,543.99 = 3,119.19/x
  3. Step 3: Cross multiply
    9,694.77x = 14,543.99 × 3,119.19
  4. Step 4: Simplify right side
    9,694.77x = 45,365,452.57
  5. Step 5: Solve for x
    x = 45,365,452.57/9,694.77
  6. Step 6: Final answer
    x = 4,679.37

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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.