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Finding the Fourth Proportional to 9,446.45, 12,981.38 and 9,012.83

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Solution

The fourth proportional to 9,446.45, 12,981.38 and 9,012.83 is: 12,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.45 : 12,981.38 = 9,012.83 : x
  2. Step 2: Convert to fraction form
    9,446.45/12,981.38 = 9,012.83/x
  3. Step 3: Cross multiply
    9,446.45x = 12,981.38 × 9,012.83
  4. Step 4: Simplify right side
    9,446.45x = 116,998,861.13
  5. Step 5: Solve for x
    x = 116,998,861.13/9,446.45
  6. Step 6: Final answer
    x = 12,385.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.