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Finding the Fourth Proportional to 10,422.97, 14,384.46 and 6,880.03

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Solution

The fourth proportional to 10,422.97, 14,384.46 and 6,880.03 is: 9,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.97 : 14,384.46 = 6,880.03 : x
  2. Step 2: Convert to fraction form
    10,422.97/14,384.46 = 6,880.03/x
  3. Step 3: Cross multiply
    10,422.97x = 14,384.46 × 6,880.03
  4. Step 4: Simplify right side
    10,422.97x = 98,965,516.33
  5. Step 5: Solve for x
    x = 98,965,516.33/10,422.97
  6. Step 6: Final answer
    x = 9,494.94

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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.