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Finding the Fourth Proportional to 9,645.25, 13,321.38 and 6,495.97

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Solution

The fourth proportional to 9,645.25, 13,321.38 and 6,495.97 is: 8,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.25 : 13,321.38 = 6,495.97 : x
  2. Step 2: Convert to fraction form
    9,645.25/13,321.38 = 6,495.97/x
  3. Step 3: Cross multiply
    9,645.25x = 13,321.38 × 6,495.97
  4. Step 4: Simplify right side
    9,645.25x = 86,535,284.84
  5. Step 5: Solve for x
    x = 86,535,284.84/9,645.25
  6. Step 6: Final answer
    x = 8,971.80

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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.