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Finding the Fourth Proportional to 9,384.91, 12,936.16 and 6,359.11

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Solution

The fourth proportional to 9,384.91, 12,936.16 and 6,359.11 is: 8,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.91 : 12,936.16 = 6,359.11 : x
  2. Step 2: Convert to fraction form
    9,384.91/12,936.16 = 6,359.11/x
  3. Step 3: Cross multiply
    9,384.91x = 12,936.16 × 6,359.11
  4. Step 4: Simplify right side
    9,384.91x = 82,262,440.03
  5. Step 5: Solve for x
    x = 82,262,440.03/9,384.91
  6. Step 6: Final answer
    x = 8,765.40

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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.