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Finding the Fourth Proportional to 9,637.92, 14,453.46 and 3,396.60

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Solution

The fourth proportional to 9,637.92, 14,453.46 and 3,396.60 is: 5,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.92 : 14,453.46 = 3,396.60 : x
  2. Step 2: Convert to fraction form
    9,637.92/14,453.46 = 3,396.60/x
  3. Step 3: Cross multiply
    9,637.92x = 14,453.46 × 3,396.60
  4. Step 4: Simplify right side
    9,637.92x = 49,092,622.24
  5. Step 5: Solve for x
    x = 49,092,622.24/9,637.92
  6. Step 6: Final answer
    x = 5,093.69

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