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Finding the Fourth Proportional to 9,512.79, 14,273.28 and 3,673.50

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Solution

The fourth proportional to 9,512.79, 14,273.28 and 3,673.50 is: 5,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.79 : 14,273.28 = 3,673.50 : x
  2. Step 2: Convert to fraction form
    9,512.79/14,273.28 = 3,673.50/x
  3. Step 3: Cross multiply
    9,512.79x = 14,273.28 × 3,673.50
  4. Step 4: Simplify right side
    9,512.79x = 52,432,894.08
  5. Step 5: Solve for x
    x = 52,432,894.08/9,512.79
  6. Step 6: Final answer
    x = 5,511.83

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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.