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Finding the Fourth Proportional to 9,392.97, 14,088.64 and 5,694.11

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Solution

The fourth proportional to 9,392.97, 14,088.64 and 5,694.11 is: 8,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.97 : 14,088.64 = 5,694.11 : x
  2. Step 2: Convert to fraction form
    9,392.97/14,088.64 = 5,694.11/x
  3. Step 3: Cross multiply
    9,392.97x = 14,088.64 × 5,694.11
  4. Step 4: Simplify right side
    9,392.97x = 80,222,265.91
  5. Step 5: Solve for x
    x = 80,222,265.91/9,392.97
  6. Step 6: Final answer
    x = 8,540.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.