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Finding the Fourth Proportional to 10,121.81, 13,969.90 and 6,541.20

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Solution

The fourth proportional to 10,121.81, 13,969.90 and 6,541.20 is: 9,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.81 : 13,969.90 = 6,541.20 : x
  2. Step 2: Convert to fraction form
    10,121.81/13,969.90 = 6,541.20/x
  3. Step 3: Cross multiply
    10,121.81x = 13,969.90 × 6,541.20
  4. Step 4: Simplify right side
    10,121.81x = 91,379,918.06
  5. Step 5: Solve for x
    x = 91,379,918.06/10,121.81
  6. Step 6: Final answer
    x = 9,028.03

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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.