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Finding the Fourth Proportional to 6,281.96, 8,669.50 and 3,764.17

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Solution

The fourth proportional to 6,281.96, 8,669.50 and 3,764.17 is: 5,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.96 : 8,669.50 = 3,764.17 : x
  2. Step 2: Convert to fraction form
    6,281.96/8,669.50 = 3,764.17/x
  3. Step 3: Cross multiply
    6,281.96x = 8,669.50 × 3,764.17
  4. Step 4: Simplify right side
    6,281.96x = 32,633,473.24
  5. Step 5: Solve for x
    x = 32,633,473.24/6,281.96
  6. Step 6: Final answer
    x = 5,194.80

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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.