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Finding the Fourth Proportional to 9,414.64, 12,991.60 and 5,223.16

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Solution

The fourth proportional to 9,414.64, 12,991.60 and 5,223.16 is: 7,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.64 : 12,991.60 = 5,223.16 : x
  2. Step 2: Convert to fraction form
    9,414.64/12,991.60 = 5,223.16/x
  3. Step 3: Cross multiply
    9,414.64x = 12,991.60 × 5,223.16
  4. Step 4: Simplify right side
    9,414.64x = 67,857,205.46
  5. Step 5: Solve for x
    x = 67,857,205.46/9,414.64
  6. Step 6: Final answer
    x = 7,207.63

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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.