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Finding the Fourth Proportional to 9,808.12, 14,619.79 and 9,020.80

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Solution

The fourth proportional to 9,808.12, 14,619.79 and 9,020.80 is: 13,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.12 : 14,619.79 = 9,020.80 : x
  2. Step 2: Convert to fraction form
    9,808.12/14,619.79 = 9,020.80/x
  3. Step 3: Cross multiply
    9,808.12x = 14,619.79 × 9,020.80
  4. Step 4: Simplify right side
    9,808.12x = 131,882,201.63
  5. Step 5: Solve for x
    x = 131,882,201.63/9,808.12
  6. Step 6: Final answer
    x = 13,446.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.