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Finding the Fourth Proportional to 11,412.14, 15,740.07 and 9,821.43

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Solution

The fourth proportional to 11,412.14, 15,740.07 and 9,821.43 is: 13,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.14 : 15,740.07 = 9,821.43 : x
  2. Step 2: Convert to fraction form
    11,412.14/15,740.07 = 9,821.43/x
  3. Step 3: Cross multiply
    11,412.14x = 15,740.07 × 9,821.43
  4. Step 4: Simplify right side
    11,412.14x = 154,589,995.70
  5. Step 5: Solve for x
    x = 154,589,995.70/11,412.14
  6. Step 6: Final answer
    x = 13,546.10

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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.