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Finding the Fourth Proportional to 6,227.69, 8,596.61 and 4,562.32

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Solution

The fourth proportional to 6,227.69, 8,596.61 and 4,562.32 is: 6,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.69 : 8,596.61 = 4,562.32 : x
  2. Step 2: Convert to fraction form
    6,227.69/8,596.61 = 4,562.32/x
  3. Step 3: Cross multiply
    6,227.69x = 8,596.61 × 4,562.32
  4. Step 4: Simplify right side
    6,227.69x = 39,220,498.84
  5. Step 5: Solve for x
    x = 39,220,498.84/6,227.69
  6. Step 6: Final answer
    x = 6,297.76

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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.