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Finding the Fourth Proportional to 9,468.74, 14,195 and 3,629.54

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Solution

The fourth proportional to 9,468.74, 14,195 and 3,629.54 is: 5,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.74 : 14,195 = 3,629.54 : x
  2. Step 2: Convert to fraction form
    9,468.74/14,195 = 3,629.54/x
  3. Step 3: Cross multiply
    9,468.74x = 14,195 × 3,629.54
  4. Step 4: Simplify right side
    9,468.74x = 51,521,320.30
  5. Step 5: Solve for x
    x = 51,521,320.30/9,468.74
  6. Step 6: Final answer
    x = 5,441.20

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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.