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Finding the Fourth Proportional to 7,048.14, 9,704.31 and 5,983.71

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Solution

The fourth proportional to 7,048.14, 9,704.31 and 5,983.71 is: 8,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.14 : 9,704.31 = 5,983.71 : x
  2. Step 2: Convert to fraction form
    7,048.14/9,704.31 = 5,983.71/x
  3. Step 3: Cross multiply
    7,048.14x = 9,704.31 × 5,983.71
  4. Step 4: Simplify right side
    7,048.14x = 58,067,776.79
  5. Step 5: Solve for x
    x = 58,067,776.79/7,048.14
  6. Step 6: Final answer
    x = 8,238.74

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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.