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Finding the Fourth Proportional to 6,838.70, 9,446.92 and 6,483.92

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Solution

The fourth proportional to 6,838.70, 9,446.92 and 6,483.92 is: 8,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.70 : 9,446.92 = 6,483.92 : x
  2. Step 2: Convert to fraction form
    6,838.70/9,446.92 = 6,483.92/x
  3. Step 3: Cross multiply
    6,838.70x = 9,446.92 × 6,483.92
  4. Step 4: Simplify right side
    6,838.70x = 61,253,073.53
  5. Step 5: Solve for x
    x = 61,253,073.53/6,838.70
  6. Step 6: Final answer
    x = 8,956.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.