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Finding the Fourth Proportional to 9,900.94, 14,849.97 and 3,743.50

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Solution

The fourth proportional to 9,900.94, 14,849.97 and 3,743.50 is: 5,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.94 : 14,849.97 = 3,743.50 : x
  2. Step 2: Convert to fraction form
    9,900.94/14,849.97 = 3,743.50/x
  3. Step 3: Cross multiply
    9,900.94x = 14,849.97 × 3,743.50
  4. Step 4: Simplify right side
    9,900.94x = 55,590,862.70
  5. Step 5: Solve for x
    x = 55,590,862.70/9,900.94
  6. Step 6: Final answer
    x = 5,614.71

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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.