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Finding the Fourth Proportional to 9,983.76, 14,974.74 and 3,743.52

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Solution

The fourth proportional to 9,983.76, 14,974.74 and 3,743.52 is: 5,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.76 : 14,974.74 = 3,743.52 : x
  2. Step 2: Convert to fraction form
    9,983.76/14,974.74 = 3,743.52/x
  3. Step 3: Cross multiply
    9,983.76x = 14,974.74 × 3,743.52
  4. Step 4: Simplify right side
    9,983.76x = 56,058,238.68
  5. Step 5: Solve for x
    x = 56,058,238.68/9,983.76
  6. Step 6: Final answer
    x = 5,614.94

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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.