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Finding the Fourth Proportional to 9,494.25, 13,091.40 and 6,132.63

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Solution

The fourth proportional to 9,494.25, 13,091.40 and 6,132.63 is: 8,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.25 : 13,091.40 = 6,132.63 : x
  2. Step 2: Convert to fraction form
    9,494.25/13,091.40 = 6,132.63/x
  3. Step 3: Cross multiply
    9,494.25x = 13,091.40 × 6,132.63
  4. Step 4: Simplify right side
    9,494.25x = 80,284,712.38
  5. Step 5: Solve for x
    x = 80,284,712.38/9,494.25
  6. Step 6: Final answer
    x = 8,456.14

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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.