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Finding the Fourth Proportional to 6,415.68, 9,622.16 and 2,033.52

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Solution

The fourth proportional to 6,415.68, 9,622.16 and 2,033.52 is: 3,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.68 : 9,622.16 = 2,033.52 : x
  2. Step 2: Convert to fraction form
    6,415.68/9,622.16 = 2,033.52/x
  3. Step 3: Cross multiply
    6,415.68x = 9,622.16 × 2,033.52
  4. Step 4: Simplify right side
    6,415.68x = 19,566,854.80
  5. Step 5: Solve for x
    x = 19,566,854.80/6,415.68
  6. Step 6: Final answer
    x = 3,049.85

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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.