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Finding the Fourth Proportional to 9,697.05, 13,388.27 and 7,454.79

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Solution

The fourth proportional to 9,697.05, 13,388.27 and 7,454.79 is: 10,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.05 : 13,388.27 = 7,454.79 : x
  2. Step 2: Convert to fraction form
    9,697.05/13,388.27 = 7,454.79/x
  3. Step 3: Cross multiply
    9,697.05x = 13,388.27 × 7,454.79
  4. Step 4: Simplify right side
    9,697.05x = 99,806,704.04
  5. Step 5: Solve for x
    x = 99,806,704.04/9,697.05
  6. Step 6: Final answer
    x = 10,292.48

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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.