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Finding the Fourth Proportional to 9,414.20, 12,990.17 and 5,636.54

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Solution

The fourth proportional to 9,414.20, 12,990.17 and 5,636.54 is: 7,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.20 : 12,990.17 = 5,636.54 : x
  2. Step 2: Convert to fraction form
    9,414.20/12,990.17 = 5,636.54/x
  3. Step 3: Cross multiply
    9,414.20x = 12,990.17 × 5,636.54
  4. Step 4: Simplify right side
    9,414.20x = 73,219,586.31
  5. Step 5: Solve for x
    x = 73,219,586.31/9,414.20
  6. Step 6: Final answer
    x = 7,777.57

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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.