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Finding the Fourth Proportional to 9,305.82, 12,841.38 and 6,659.46

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Solution

The fourth proportional to 9,305.82, 12,841.38 and 6,659.46 is: 9,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.82 : 12,841.38 = 6,659.46 : x
  2. Step 2: Convert to fraction form
    9,305.82/12,841.38 = 6,659.46/x
  3. Step 3: Cross multiply
    9,305.82x = 12,841.38 × 6,659.46
  4. Step 4: Simplify right side
    9,305.82x = 85,516,656.45
  5. Step 5: Solve for x
    x = 85,516,656.45/9,305.82
  6. Step 6: Final answer
    x = 9,189.59

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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.