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Finding the Fourth Proportional to 6,564.33, 9,843.31 and 2,180.34

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Solution

The fourth proportional to 6,564.33, 9,843.31 and 2,180.34 is: 3,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.33 : 9,843.31 = 2,180.34 : x
  2. Step 2: Convert to fraction form
    6,564.33/9,843.31 = 2,180.34/x
  3. Step 3: Cross multiply
    6,564.33x = 9,843.31 × 2,180.34
  4. Step 4: Simplify right side
    6,564.33x = 21,461,762.53
  5. Step 5: Solve for x
    x = 21,461,762.53/6,564.33
  6. Step 6: Final answer
    x = 3,269.45

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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.