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Finding the Fourth Proportional to 9,720.88, 14,582.04 and 2,795.92

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Solution

The fourth proportional to 9,720.88, 14,582.04 and 2,795.92 is: 4,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.88 : 14,582.04 = 2,795.92 : x
  2. Step 2: Convert to fraction form
    9,720.88/14,582.04 = 2,795.92/x
  3. Step 3: Cross multiply
    9,720.88x = 14,582.04 × 2,795.92
  4. Step 4: Simplify right side
    9,720.88x = 40,770,217.28
  5. Step 5: Solve for x
    x = 40,770,217.28/9,720.88
  6. Step 6: Final answer
    x = 4,194.09

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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.