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Finding the Fourth Proportional to 9,513.50, 14,270.24 and 2,939.54

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Solution

The fourth proportional to 9,513.50, 14,270.24 and 2,939.54 is: 4,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.50 : 14,270.24 = 2,939.54 : x
  2. Step 2: Convert to fraction form
    9,513.50/14,270.24 = 2,939.54/x
  3. Step 3: Cross multiply
    9,513.50x = 14,270.24 × 2,939.54
  4. Step 4: Simplify right side
    9,513.50x = 41,947,877.29
  5. Step 5: Solve for x
    x = 41,947,877.29/9,513.50
  6. Step 6: Final answer
    x = 4,409.30

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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.