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Finding the Fourth Proportional to 6,375.33, 9,564.66 and 1,992.60

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Solution

The fourth proportional to 6,375.33, 9,564.66 and 1,992.60 is: 2,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.33 : 9,564.66 = 1,992.60 : x
  2. Step 2: Convert to fraction form
    6,375.33/9,564.66 = 1,992.60/x
  3. Step 3: Cross multiply
    6,375.33x = 9,564.66 × 1,992.60
  4. Step 4: Simplify right side
    6,375.33x = 19,058,541.52
  5. Step 5: Solve for x
    x = 19,058,541.52/6,375.33
  6. Step 6: Final answer
    x = 2,989.42

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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.