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Finding the Fourth Proportional to 7,194.85, 9,929.11 and 3,965.01

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Solution

The fourth proportional to 7,194.85, 9,929.11 and 3,965.01 is: 5,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.85 : 9,929.11 = 3,965.01 : x
  2. Step 2: Convert to fraction form
    7,194.85/9,929.11 = 3,965.01/x
  3. Step 3: Cross multiply
    7,194.85x = 9,929.11 × 3,965.01
  4. Step 4: Simplify right side
    7,194.85x = 39,369,020.44
  5. Step 5: Solve for x
    x = 39,369,020.44/7,194.85
  6. Step 6: Final answer
    x = 5,471.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.