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Finding the Fourth Proportional to 7,147.47, 9,863.81 and 4,162.83

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Solution

The fourth proportional to 7,147.47, 9,863.81 and 4,162.83 is: 5,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.47 : 9,863.81 = 4,162.83 : x
  2. Step 2: Convert to fraction form
    7,147.47/9,863.81 = 4,162.83/x
  3. Step 3: Cross multiply
    7,147.47x = 9,863.81 × 4,162.83
  4. Step 4: Simplify right side
    7,147.47x = 41,061,364.18
  5. Step 5: Solve for x
    x = 41,061,364.18/7,147.47
  6. Step 6: Final answer
    x = 5,744.88

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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.