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Finding the Fourth Proportional to 9,446.94, 14,168.34 and 6,838.92

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Solution

The fourth proportional to 9,446.94, 14,168.34 and 6,838.92 is: 10,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.94 : 14,168.34 = 6,838.92 : x
  2. Step 2: Convert to fraction form
    9,446.94/14,168.34 = 6,838.92/x
  3. Step 3: Cross multiply
    9,446.94x = 14,168.34 × 6,838.92
  4. Step 4: Simplify right side
    9,446.94x = 96,896,143.79
  5. Step 5: Solve for x
    x = 96,896,143.79/9,446.94
  6. Step 6: Final answer
    x = 10,256.88

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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.