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Finding the Fourth Proportional to 9,620.40, 13,910.70 and 9,620.40

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Solution

The fourth proportional to 9,620.40, 13,910.70 and 9,620.40 is: 13,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.40 : 13,910.70 = 9,620.40 : x
  2. Step 2: Convert to fraction form
    9,620.40/13,910.70 = 9,620.40/x
  3. Step 3: Cross multiply
    9,620.40x = 13,910.70 × 9,620.40
  4. Step 4: Simplify right side
    9,620.40x = 133,826,498.28
  5. Step 5: Solve for x
    x = 133,826,498.28/9,620.40
  6. Step 6: Final answer
    x = 13,910.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.