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Finding the Fourth Proportional to 9,517.64, 13,138.02 and 8,521.20

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Solution

The fourth proportional to 9,517.64, 13,138.02 and 8,521.20 is: 11,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.64 : 13,138.02 = 8,521.20 : x
  2. Step 2: Convert to fraction form
    9,517.64/13,138.02 = 8,521.20/x
  3. Step 3: Cross multiply
    9,517.64x = 13,138.02 × 8,521.20
  4. Step 4: Simplify right side
    9,517.64x = 111,951,696.02
  5. Step 5: Solve for x
    x = 111,951,696.02/9,517.64
  6. Step 6: Final answer
    x = 11,762.55

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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.