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Finding the Fourth Proportional to 6,131.25, 9,182.25 and 3,528.72

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Solution

The fourth proportional to 6,131.25, 9,182.25 and 3,528.72 is: 5,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.25 : 9,182.25 = 3,528.72 : x
  2. Step 2: Convert to fraction form
    6,131.25/9,182.25 = 3,528.72/x
  3. Step 3: Cross multiply
    6,131.25x = 9,182.25 × 3,528.72
  4. Step 4: Simplify right side
    6,131.25x = 32,401,589.22
  5. Step 5: Solve for x
    x = 32,401,589.22/6,131.25
  6. Step 6: Final answer
    x = 5,284.66

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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.