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Finding the Fourth Proportional to 9,920.94, 14,871.02 and 3,344.84

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Solution

The fourth proportional to 9,920.94, 14,871.02 and 3,344.84 is: 5,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.94 : 14,871.02 = 3,344.84 : x
  2. Step 2: Convert to fraction form
    9,920.94/14,871.02 = 3,344.84/x
  3. Step 3: Cross multiply
    9,920.94x = 14,871.02 × 3,344.84
  4. Step 4: Simplify right side
    9,920.94x = 49,741,182.54
  5. Step 5: Solve for x
    x = 49,741,182.54/9,920.94
  6. Step 6: Final answer
    x = 5,013.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.