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Finding the Fourth Proportional to 9,645.38, 13,310.62 and 5,454.44

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Solution

The fourth proportional to 9,645.38, 13,310.62 and 5,454.44 is: 7,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.38 : 13,310.62 = 5,454.44 : x
  2. Step 2: Convert to fraction form
    9,645.38/13,310.62 = 5,454.44/x
  3. Step 3: Cross multiply
    9,645.38x = 13,310.62 × 5,454.44
  4. Step 4: Simplify right side
    9,645.38x = 72,601,897.96
  5. Step 5: Solve for x
    x = 72,601,897.96/9,645.38
  6. Step 6: Final answer
    x = 7,527.12

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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.