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Finding the Fourth Proportional to 9,446.62, 14,224.84 and 6,998.80

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Solution

The fourth proportional to 9,446.62, 14,224.84 and 6,998.80 is: 10,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.62 : 14,224.84 = 6,998.80 : x
  2. Step 2: Convert to fraction form
    9,446.62/14,224.84 = 6,998.80/x
  3. Step 3: Cross multiply
    9,446.62x = 14,224.84 × 6,998.80
  4. Step 4: Simplify right side
    9,446.62x = 99,556,810.19
  5. Step 5: Solve for x
    x = 99,556,810.19/9,446.62
  6. Step 6: Final answer
    x = 10,538.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.