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Finding the Fourth Proportional to 9,489.64, 13,096.20 and 5,297.64

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Solution

The fourth proportional to 9,489.64, 13,096.20 and 5,297.64 is: 7,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.64 : 13,096.20 = 5,297.64 : x
  2. Step 2: Convert to fraction form
    9,489.64/13,096.20 = 5,297.64/x
  3. Step 3: Cross multiply
    9,489.64x = 13,096.20 × 5,297.64
  4. Step 4: Simplify right side
    9,489.64x = 69,378,952.97
  5. Step 5: Solve for x
    x = 69,378,952.97/9,489.64
  6. Step 6: Final answer
    x = 7,311.02

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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.