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Finding the Fourth Proportional to 6,544.05, 9,821.27 and 3,425.01

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Solution

The fourth proportional to 6,544.05, 9,821.27 and 3,425.01 is: 5,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.05 : 9,821.27 = 3,425.01 : x
  2. Step 2: Convert to fraction form
    6,544.05/9,821.27 = 3,425.01/x
  3. Step 3: Cross multiply
    6,544.05x = 9,821.27 × 3,425.01
  4. Step 4: Simplify right side
    6,544.05x = 33,637,947.96
  5. Step 5: Solve for x
    x = 33,637,947.96/6,544.05
  6. Step 6: Final answer
    x = 5,140.23

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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.