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Finding the Fourth Proportional to 9,720.12, 14,578.56 and 2,793

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Solution

The fourth proportional to 9,720.12, 14,578.56 and 2,793 is: 4,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.12 : 14,578.56 = 2,793 : x
  2. Step 2: Convert to fraction form
    9,720.12/14,578.56 = 2,793/x
  3. Step 3: Cross multiply
    9,720.12x = 14,578.56 × 2,793
  4. Step 4: Simplify right side
    9,720.12x = 40,717,918.08
  5. Step 5: Solve for x
    x = 40,717,918.08/9,720.12
  6. Step 6: Final answer
    x = 4,189.03

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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.