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Finding the Fourth Proportional to 9,414.74, 12,991.90 and 5,165.70

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Solution

The fourth proportional to 9,414.74, 12,991.90 and 5,165.70 is: 7,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.74 : 12,991.90 = 5,165.70 : x
  2. Step 2: Convert to fraction form
    9,414.74/12,991.90 = 5,165.70/x
  3. Step 3: Cross multiply
    9,414.74x = 12,991.90 × 5,165.70
  4. Step 4: Simplify right side
    9,414.74x = 67,112,232.00
  5. Step 5: Solve for x
    x = 67,112,232.00/9,414.74
  6. Step 6: Final answer
    x = 7,128.42

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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.