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Finding the Fourth Proportional to 28,974.72, 43,471.80 and 9,256.08

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Solution

The fourth proportional to 28,974.72, 43,471.80 and 9,256.08 is: 13,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,974.72 : 43,471.80 = 9,256.08 : x
  2. Step 2: Convert to fraction form
    28,974.72/43,471.80 = 9,256.08/x
  3. Step 3: Cross multiply
    28,974.72x = 43,471.80 × 9,256.08
  4. Step 4: Simplify right side
    28,974.72x = 402,378,458.54
  5. Step 5: Solve for x
    x = 402,378,458.54/28,974.72
  6. Step 6: Final answer
    x = 13,887.23

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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.