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Finding the Fourth Proportional to 6,197.04, 9,296.64 and 2,301.48

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Solution

The fourth proportional to 6,197.04, 9,296.64 and 2,301.48 is: 3,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.04 : 9,296.64 = 2,301.48 : x
  2. Step 2: Convert to fraction form
    6,197.04/9,296.64 = 2,301.48/x
  3. Step 3: Cross multiply
    6,197.04x = 9,296.64 × 2,301.48
  4. Step 4: Simplify right side
    6,197.04x = 21,396,031.03
  5. Step 5: Solve for x
    x = 21,396,031.03/6,197.04
  6. Step 6: Final answer
    x = 3,452.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.