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Finding the Fourth Proportional to 6,175.27, 9,268.14 and 2,480.00

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Solution

The fourth proportional to 6,175.27, 9,268.14 and 2,480.00 is: 3,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.27 : 9,268.14 = 2,480.00 : x
  2. Step 2: Convert to fraction form
    6,175.27/9,268.14 = 2,480.00/x
  3. Step 3: Cross multiply
    6,175.27x = 9,268.14 × 2,480.00
  4. Step 4: Simplify right side
    6,175.27x = 22,984,950.16
  5. Step 5: Solve for x
    x = 22,984,950.16/6,175.27
  6. Step 6: Final answer
    x = 3,722.10

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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.