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Finding the Fourth Proportional to 9,654.69, 13,327.38 and 8,170.32

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Solution

The fourth proportional to 9,654.69, 13,327.38 and 8,170.32 is: 11,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.69 : 13,327.38 = 8,170.32 : x
  2. Step 2: Convert to fraction form
    9,654.69/13,327.38 = 8,170.32/x
  3. Step 3: Cross multiply
    9,654.69x = 13,327.38 × 8,170.32
  4. Step 4: Simplify right side
    9,654.69x = 108,888,959.36
  5. Step 5: Solve for x
    x = 108,888,959.36/9,654.69
  6. Step 6: Final answer
    x = 11,278.35

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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.