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Finding the Fourth Proportional to 6,632.80, 9,150.99 and 4,114.01

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Solution

The fourth proportional to 6,632.80, 9,150.99 and 4,114.01 is: 5,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.80 : 9,150.99 = 4,114.01 : x
  2. Step 2: Convert to fraction form
    6,632.80/9,150.99 = 4,114.01/x
  3. Step 3: Cross multiply
    6,632.80x = 9,150.99 × 4,114.01
  4. Step 4: Simplify right side
    6,632.80x = 37,647,243.49
  5. Step 5: Solve for x
    x = 37,647,243.49/6,632.80
  6. Step 6: Final answer
    x = 5,675.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.