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Finding the Fourth Proportional to 9,923.14, 14,883.31 and 3,348.46

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Solution

The fourth proportional to 9,923.14, 14,883.31 and 3,348.46 is: 5,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.14 : 14,883.31 = 3,348.46 : x
  2. Step 2: Convert to fraction form
    9,923.14/14,883.31 = 3,348.46/x
  3. Step 3: Cross multiply
    9,923.14x = 14,883.31 × 3,348.46
  4. Step 4: Simplify right side
    9,923.14x = 49,836,151.46
  5. Step 5: Solve for x
    x = 49,836,151.46/9,923.14
  6. Step 6: Final answer
    x = 5,022.22

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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.