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Finding the Fourth Proportional to 7,052.82, 9,733.20 and 3,909

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Solution

The fourth proportional to 7,052.82, 9,733.20 and 3,909 is: 5,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.82 : 9,733.20 = 3,909 : x
  2. Step 2: Convert to fraction form
    7,052.82/9,733.20 = 3,909/x
  3. Step 3: Cross multiply
    7,052.82x = 9,733.20 × 3,909
  4. Step 4: Simplify right side
    7,052.82x = 38,047,078.80
  5. Step 5: Solve for x
    x = 38,047,078.80/7,052.82
  6. Step 6: Final answer
    x = 5,394.59

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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.