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Finding the Fourth Proportional to 28,446.87, 42,677.23 and 9,471.46

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Solution

The fourth proportional to 28,446.87, 42,677.23 and 9,471.46 is: 14,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446.87 : 42,677.23 = 9,471.46 : x
  2. Step 2: Convert to fraction form
    28,446.87/42,677.23 = 9,471.46/x
  3. Step 3: Cross multiply
    28,446.87x = 42,677.23 × 9,471.46
  4. Step 4: Simplify right side
    28,446.87x = 404,215,463.47
  5. Step 5: Solve for x
    x = 404,215,463.47/28,446.87
  6. Step 6: Final answer
    x = 14,209.49

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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.