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Finding the Fourth Proportional to 9,905.96, 14,857.32 and 3,668.96

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Solution

The fourth proportional to 9,905.96, 14,857.32 and 3,668.96 is: 5,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.96 : 14,857.32 = 3,668.96 : x
  2. Step 2: Convert to fraction form
    9,905.96/14,857.32 = 3,668.96/x
  3. Step 3: Cross multiply
    9,905.96x = 14,857.32 × 3,668.96
  4. Step 4: Simplify right side
    9,905.96x = 54,510,912.79
  5. Step 5: Solve for x
    x = 54,510,912.79/9,905.96
  6. Step 6: Final answer
    x = 5,502.84

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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.