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Finding the Fourth Proportional to 9,446.51, 14,169.02 and 2,872.68

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Solution

The fourth proportional to 9,446.51, 14,169.02 and 2,872.68 is: 4,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.51 : 14,169.02 = 2,872.68 : x
  2. Step 2: Convert to fraction form
    9,446.51/14,169.02 = 2,872.68/x
  3. Step 3: Cross multiply
    9,446.51x = 14,169.02 × 2,872.68
  4. Step 4: Simplify right side
    9,446.51x = 40,703,046.01
  5. Step 5: Solve for x
    x = 40,703,046.01/9,446.51
  6. Step 6: Final answer
    x = 4,308.79

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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.