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Finding the Fourth Proportional to 9,154.05, 12,633.62 and 7,659.33

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Solution

The fourth proportional to 9,154.05, 12,633.62 and 7,659.33 is: 10,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.05 : 12,633.62 = 7,659.33 : x
  2. Step 2: Convert to fraction form
    9,154.05/12,633.62 = 7,659.33/x
  3. Step 3: Cross multiply
    9,154.05x = 12,633.62 × 7,659.33
  4. Step 4: Simplify right side
    9,154.05x = 96,765,026.38
  5. Step 5: Solve for x
    x = 96,765,026.38/9,154.05
  6. Step 6: Final answer
    x = 10,570.73

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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.