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Finding the Fourth Proportional to 6,197.64, 9,294.66 and 2,301.12

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Solution

The fourth proportional to 6,197.64, 9,294.66 and 2,301.12 is: 3,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.64 : 9,294.66 = 2,301.12 : x
  2. Step 2: Convert to fraction form
    6,197.64/9,294.66 = 2,301.12/x
  3. Step 3: Cross multiply
    6,197.64x = 9,294.66 × 2,301.12
  4. Step 4: Simplify right side
    6,197.64x = 21,388,128.02
  5. Step 5: Solve for x
    x = 21,388,128.02/6,197.64
  6. Step 6: Final answer
    x = 3,451.01

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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.