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Finding the Fourth Proportional to 10,896.90, 14,990.54 and 9,546.43

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Solution

The fourth proportional to 10,896.90, 14,990.54 and 9,546.43 is: 13,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.90 : 14,990.54 = 9,546.43 : x
  2. Step 2: Convert to fraction form
    10,896.90/14,990.54 = 9,546.43/x
  3. Step 3: Cross multiply
    10,896.90x = 14,990.54 × 9,546.43
  4. Step 4: Simplify right side
    10,896.90x = 143,106,104.97
  5. Step 5: Solve for x
    x = 143,106,104.97/10,896.90
  6. Step 6: Final answer
    x = 13,132.73

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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.