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Finding the Fourth Proportional to 7,061.13, 9,744.34 and 3,830.97

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Solution

The fourth proportional to 7,061.13, 9,744.34 and 3,830.97 is: 5,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.13 : 9,744.34 = 3,830.97 : x
  2. Step 2: Convert to fraction form
    7,061.13/9,744.34 = 3,830.97/x
  3. Step 3: Cross multiply
    7,061.13x = 9,744.34 × 3,830.97
  4. Step 4: Simplify right side
    7,061.13x = 37,330,274.21
  5. Step 5: Solve for x
    x = 37,330,274.21/7,061.13
  6. Step 6: Final answer
    x = 5,286.73

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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.