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Finding the Fourth Proportional to 6,564.49, 9,847.34 and 2,614.79

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Solution

The fourth proportional to 6,564.49, 9,847.34 and 2,614.79 is: 3,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.49 : 9,847.34 = 2,614.79 : x
  2. Step 2: Convert to fraction form
    6,564.49/9,847.34 = 2,614.79/x
  3. Step 3: Cross multiply
    6,564.49x = 9,847.34 × 2,614.79
  4. Step 4: Simplify right side
    6,564.49x = 25,748,747.51
  5. Step 5: Solve for x
    x = 25,748,747.51/6,564.49
  6. Step 6: Final answer
    x = 3,922.43

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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.