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Finding the Fourth Proportional to 9,676, 13,350.72 and 5,697.28

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Solution

The fourth proportional to 9,676, 13,350.72 and 5,697.28 is: 7,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676 : 13,350.72 = 5,697.28 : x
  2. Step 2: Convert to fraction form
    9,676/13,350.72 = 5,697.28/x
  3. Step 3: Cross multiply
    9,676x = 13,350.72 × 5,697.28
  4. Step 4: Simplify right side
    9,676x = 76,062,790.04
  5. Step 5: Solve for x
    x = 76,062,790.04/9,676
  6. Step 6: Final answer
    x = 7,860.97

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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.