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Finding the Fourth Proportional to 6,197.42, 9,289.89 and 3,564.14

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Solution

The fourth proportional to 6,197.42, 9,289.89 and 3,564.14 is: 5,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.42 : 9,289.89 = 3,564.14 : x
  2. Step 2: Convert to fraction form
    6,197.42/9,289.89 = 3,564.14/x
  3. Step 3: Cross multiply
    6,197.42x = 9,289.89 × 3,564.14
  4. Step 4: Simplify right side
    6,197.42x = 33,110,422.10
  5. Step 5: Solve for x
    x = 33,110,422.10/6,197.42
  6. Step 6: Final answer
    x = 5,342.61

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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.