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Finding the Fourth Proportional to 6,081.48, 9,122.21 and 1,977.48

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Solution

The fourth proportional to 6,081.48, 9,122.21 and 1,977.48 is: 2,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.48 : 9,122.21 = 1,977.48 : x
  2. Step 2: Convert to fraction form
    6,081.48/9,122.21 = 1,977.48/x
  3. Step 3: Cross multiply
    6,081.48x = 9,122.21 × 1,977.48
  4. Step 4: Simplify right side
    6,081.48x = 18,038,977.94
  5. Step 5: Solve for x
    x = 18,038,977.94/6,081.48
  6. Step 6: Final answer
    x = 2,966.22

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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.