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Finding the Fourth Proportional to 9,446.29, 14,149.18 and 7,682.92

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Solution

The fourth proportional to 9,446.29, 14,149.18 and 7,682.92 is: 11,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.29 : 14,149.18 = 7,682.92 : x
  2. Step 2: Convert to fraction form
    9,446.29/14,149.18 = 7,682.92/x
  3. Step 3: Cross multiply
    9,446.29x = 14,149.18 × 7,682.92
  4. Step 4: Simplify right side
    9,446.29x = 108,707,018.01
  5. Step 5: Solve for x
    x = 108,707,018.01/9,446.29
  6. Step 6: Final answer
    x = 11,507.91

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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.