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Finding the Fourth Proportional to 9,645.64, 13,310.92 and 5,396.68

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Solution

The fourth proportional to 9,645.64, 13,310.92 and 5,396.68 is: 7,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.64 : 13,310.92 = 5,396.68 : x
  2. Step 2: Convert to fraction form
    9,645.64/13,310.92 = 5,396.68/x
  3. Step 3: Cross multiply
    9,645.64x = 13,310.92 × 5,396.68
  4. Step 4: Simplify right side
    9,645.64x = 71,834,682.21
  5. Step 5: Solve for x
    x = 71,834,682.21/9,645.64
  6. Step 6: Final answer
    x = 7,447.38

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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.