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Finding the Fourth Proportional to 8,314.34, 12,457.94 and 3,867.17

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Solution

The fourth proportional to 8,314.34, 12,457.94 and 3,867.17 is: 5,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.34 : 12,457.94 = 3,867.17 : x
  2. Step 2: Convert to fraction form
    8,314.34/12,457.94 = 3,867.17/x
  3. Step 3: Cross multiply
    8,314.34x = 12,457.94 × 3,867.17
  4. Step 4: Simplify right side
    8,314.34x = 48,176,890.20
  5. Step 5: Solve for x
    x = 48,176,890.20/8,314.34
  6. Step 6: Final answer
    x = 5,794.44

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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.