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Finding the Fourth Proportional to 9,214.92, 12,716.84 and 5,680.44

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Solution

The fourth proportional to 9,214.92, 12,716.84 and 5,680.44 is: 7,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.92 : 12,716.84 = 5,680.44 : x
  2. Step 2: Convert to fraction form
    9,214.92/12,716.84 = 5,680.44/x
  3. Step 3: Cross multiply
    9,214.92x = 12,716.84 × 5,680.44
  4. Step 4: Simplify right side
    9,214.92x = 72,237,246.61
  5. Step 5: Solve for x
    x = 72,237,246.61/9,214.92
  6. Step 6: Final answer
    x = 7,839.16

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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.