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Finding the Fourth Proportional to 9,668.37, 14,502.62 and 3,428.54

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Solution

The fourth proportional to 9,668.37, 14,502.62 and 3,428.54 is: 5,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.37 : 14,502.62 = 3,428.54 : x
  2. Step 2: Convert to fraction form
    9,668.37/14,502.62 = 3,428.54/x
  3. Step 3: Cross multiply
    9,668.37x = 14,502.62 × 3,428.54
  4. Step 4: Simplify right side
    9,668.37x = 49,722,812.77
  5. Step 5: Solve for x
    x = 49,722,812.77/9,668.37
  6. Step 6: Final answer
    x = 5,142.83

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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.