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Finding the Fourth Proportional to 9,568.10, 14,348.10 and 2,992.52

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Solution

The fourth proportional to 9,568.10, 14,348.10 and 2,992.52 is: 4,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.10 : 14,348.10 = 2,992.52 : x
  2. Step 2: Convert to fraction form
    9,568.10/14,348.10 = 2,992.52/x
  3. Step 3: Cross multiply
    9,568.10x = 14,348.10 × 2,992.52
  4. Step 4: Simplify right side
    9,568.10x = 42,936,976.21
  5. Step 5: Solve for x
    x = 42,936,976.21/9,568.10
  6. Step 6: Final answer
    x = 4,487.51

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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.