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Finding the Fourth Proportional to 6,147.08, 9,222.42 and 1,987

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Solution

The fourth proportional to 6,147.08, 9,222.42 and 1,987 is: 2,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.08 : 9,222.42 = 1,987 : x
  2. Step 2: Convert to fraction form
    6,147.08/9,222.42 = 1,987/x
  3. Step 3: Cross multiply
    6,147.08x = 9,222.42 × 1,987
  4. Step 4: Simplify right side
    6,147.08x = 18,324,948.54
  5. Step 5: Solve for x
    x = 18,324,948.54/6,147.08
  6. Step 6: Final answer
    x = 2,981.08

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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.