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Finding the Fourth Proportional to 9,494.52, 13,102.24 and 5,245.62

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Solution

The fourth proportional to 9,494.52, 13,102.24 and 5,245.62 is: 7,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.52 : 13,102.24 = 5,245.62 : x
  2. Step 2: Convert to fraction form
    9,494.52/13,102.24 = 5,245.62/x
  3. Step 3: Cross multiply
    9,494.52x = 13,102.24 × 5,245.62
  4. Step 4: Simplify right side
    9,494.52x = 68,729,393.48
  5. Step 5: Solve for x
    x = 68,729,393.48/9,494.52
  6. Step 6: Final answer
    x = 7,238.85

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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.