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Finding the Fourth Proportional to 9,620.92, 13,284.38 and 7,379.25

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Solution

The fourth proportional to 9,620.92, 13,284.38 and 7,379.25 is: 10,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.92 : 13,284.38 = 7,379.25 : x
  2. Step 2: Convert to fraction form
    9,620.92/13,284.38 = 7,379.25/x
  3. Step 3: Cross multiply
    9,620.92x = 13,284.38 × 7,379.25
  4. Step 4: Simplify right side
    9,620.92x = 98,028,761.12
  5. Step 5: Solve for x
    x = 98,028,761.12/9,620.92
  6. Step 6: Final answer
    x = 10,189.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.