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Finding the Fourth Proportional to 9,496.22, 14,248.49 and 5,052.83

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Solution

The fourth proportional to 9,496.22, 14,248.49 and 5,052.83 is: 7,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.22 : 14,248.49 = 5,052.83 : x
  2. Step 2: Convert to fraction form
    9,496.22/14,248.49 = 5,052.83/x
  3. Step 3: Cross multiply
    9,496.22x = 14,248.49 × 5,052.83
  4. Step 4: Simplify right side
    9,496.22x = 71,995,245.98
  5. Step 5: Solve for x
    x = 71,995,245.98/9,496.22
  6. Step 6: Final answer
    x = 7,581.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.