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Finding the Fourth Proportional to 6,311.24, 9,461.02 and 2,412.52

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Solution

The fourth proportional to 6,311.24, 9,461.02 and 2,412.52 is: 3,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.24 : 9,461.02 = 2,412.52 : x
  2. Step 2: Convert to fraction form
    6,311.24/9,461.02 = 2,412.52/x
  3. Step 3: Cross multiply
    6,311.24x = 9,461.02 × 2,412.52
  4. Step 4: Simplify right side
    6,311.24x = 22,824,899.97
  5. Step 5: Solve for x
    x = 22,824,899.97/6,311.24
  6. Step 6: Final answer
    x = 3,616.55

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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.