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Finding the Fourth Proportional to 10,546.44, 14,548.74 and 9,796.02

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Solution

The fourth proportional to 10,546.44, 14,548.74 and 9,796.02 is: 13,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.44 : 14,548.74 = 9,796.02 : x
  2. Step 2: Convert to fraction form
    10,546.44/14,548.74 = 9,796.02/x
  3. Step 3: Cross multiply
    10,546.44x = 14,548.74 × 9,796.02
  4. Step 4: Simplify right side
    10,546.44x = 142,519,748.01
  5. Step 5: Solve for x
    x = 142,519,748.01/10,546.44
  6. Step 6: Final answer
    x = 13,513.54

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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.