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Finding the Fourth Proportional to 9,449.92, 13,020.16 and 7,049.76

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Solution

The fourth proportional to 9,449.92, 13,020.16 and 7,049.76 is: 9,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.92 : 13,020.16 = 7,049.76 : x
  2. Step 2: Convert to fraction form
    9,449.92/13,020.16 = 7,049.76/x
  3. Step 3: Cross multiply
    9,449.92x = 13,020.16 × 7,049.76
  4. Step 4: Simplify right side
    9,449.92x = 91,789,003.16
  5. Step 5: Solve for x
    x = 91,789,003.16/9,449.92
  6. Step 6: Final answer
    x = 9,713.20

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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.