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Finding the Fourth Proportional to 28,227.96, 42,341.94 and 9,747

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Solution

The fourth proportional to 28,227.96, 42,341.94 and 9,747 is: 14,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227.96 : 42,341.94 = 9,747 : x
  2. Step 2: Convert to fraction form
    28,227.96/42,341.94 = 9,747/x
  3. Step 3: Cross multiply
    28,227.96x = 42,341.94 × 9,747
  4. Step 4: Simplify right side
    28,227.96x = 412,706,889.18
  5. Step 5: Solve for x
    x = 412,706,889.18/28,227.96
  6. Step 6: Final answer
    x = 14,620.50

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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.