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Finding the Fourth Proportional to 6,564.34, 9,847.97 and 2,404.26

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Solution

The fourth proportional to 6,564.34, 9,847.97 and 2,404.26 is: 3,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.34 : 9,847.97 = 2,404.26 : x
  2. Step 2: Convert to fraction form
    6,564.34/9,847.97 = 2,404.26/x
  3. Step 3: Cross multiply
    6,564.34x = 9,847.97 × 2,404.26
  4. Step 4: Simplify right side
    6,564.34x = 23,677,086.36
  5. Step 5: Solve for x
    x = 23,677,086.36/6,564.34
  6. Step 6: Final answer
    x = 3,606.93

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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.