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Finding the Fourth Proportional to 9,489.12, 13,091.94 and 5,296.56

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Solution

The fourth proportional to 9,489.12, 13,091.94 and 5,296.56 is: 7,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.12 : 13,091.94 = 5,296.56 : x
  2. Step 2: Convert to fraction form
    9,489.12/13,091.94 = 5,296.56/x
  3. Step 3: Cross multiply
    9,489.12x = 13,091.94 × 5,296.56
  4. Step 4: Simplify right side
    9,489.12x = 69,342,245.73
  5. Step 5: Solve for x
    x = 69,342,245.73/9,489.12
  6. Step 6: Final answer
    x = 7,307.55

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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.