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Finding the Fourth Proportional to 9,650.64, 13,318.26 and 5,343.84

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Solution

The fourth proportional to 9,650.64, 13,318.26 and 5,343.84 is: 7,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.64 : 13,318.26 = 5,343.84 : x
  2. Step 2: Convert to fraction form
    9,650.64/13,318.26 = 5,343.84/x
  3. Step 3: Cross multiply
    9,650.64x = 13,318.26 × 5,343.84
  4. Step 4: Simplify right side
    9,650.64x = 71,170,650.52
  5. Step 5: Solve for x
    x = 71,170,650.52/9,650.64
  6. Step 6: Final answer
    x = 7,374.71

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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.