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Finding the Fourth Proportional to 9,633.20, 13,512.40 and 9,633.20

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Solution

The fourth proportional to 9,633.20, 13,512.40 and 9,633.20 is: 13,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.20 : 13,512.40 = 9,633.20 : x
  2. Step 2: Convert to fraction form
    9,633.20/13,512.40 = 9,633.20/x
  3. Step 3: Cross multiply
    9,633.20x = 13,512.40 × 9,633.20
  4. Step 4: Simplify right side
    9,633.20x = 130,167,651.68
  5. Step 5: Solve for x
    x = 130,167,651.68/9,633.20
  6. Step 6: Final answer
    x = 13,512.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.