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Finding the Fourth Proportional to 8,900.24, 12,286.76 and 6,906.32

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Solution

The fourth proportional to 8,900.24, 12,286.76 and 6,906.32 is: 9,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.24 : 12,286.76 = 6,906.32 : x
  2. Step 2: Convert to fraction form
    8,900.24/12,286.76 = 6,906.32/x
  3. Step 3: Cross multiply
    8,900.24x = 12,286.76 × 6,906.32
  4. Step 4: Simplify right side
    8,900.24x = 84,856,296.32
  5. Step 5: Solve for x
    x = 84,856,296.32/8,900.24
  6. Step 6: Final answer
    x = 9,534.16

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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.