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Finding the Fourth Proportional to 9,214.35, 12,715.17 and 5,181.27

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Solution

The fourth proportional to 9,214.35, 12,715.17 and 5,181.27 is: 7,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.35 : 12,715.17 = 5,181.27 : x
  2. Step 2: Convert to fraction form
    9,214.35/12,715.17 = 5,181.27/x
  3. Step 3: Cross multiply
    9,214.35x = 12,715.17 × 5,181.27
  4. Step 4: Simplify right side
    9,214.35x = 65,880,728.87
  5. Step 5: Solve for x
    x = 65,880,728.87/9,214.35
  6. Step 6: Final answer
    x = 7,149.80

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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.