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Finding the Fourth Proportional to 9,729.54, 13,431.06 and 7,097.04

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Solution

The fourth proportional to 9,729.54, 13,431.06 and 7,097.04 is: 9,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.54 : 13,431.06 = 7,097.04 : x
  2. Step 2: Convert to fraction form
    9,729.54/13,431.06 = 7,097.04/x
  3. Step 3: Cross multiply
    9,729.54x = 13,431.06 × 7,097.04
  4. Step 4: Simplify right side
    9,729.54x = 95,320,770.06
  5. Step 5: Solve for x
    x = 95,320,770.06/9,729.54
  6. Step 6: Final answer
    x = 9,797.05

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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.