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Finding the Fourth Proportional to 9,637.96, 14,453.16 and 3,396.64

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Solution

The fourth proportional to 9,637.96, 14,453.16 and 3,396.64 is: 5,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.96 : 14,453.16 = 3,396.64 : x
  2. Step 2: Convert to fraction form
    9,637.96/14,453.16 = 3,396.64/x
  3. Step 3: Cross multiply
    9,637.96x = 14,453.16 × 3,396.64
  4. Step 4: Simplify right side
    9,637.96x = 49,092,181.38
  5. Step 5: Solve for x
    x = 49,092,181.38/9,637.96
  6. Step 6: Final answer
    x = 5,093.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.