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Finding the Fourth Proportional to 8,932.56, 12,324.06 and 5,396.64

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Solution

The fourth proportional to 8,932.56, 12,324.06 and 5,396.64 is: 7,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.56 : 12,324.06 = 5,396.64 : x
  2. Step 2: Convert to fraction form
    8,932.56/12,324.06 = 5,396.64/x
  3. Step 3: Cross multiply
    8,932.56x = 12,324.06 × 5,396.64
  4. Step 4: Simplify right side
    8,932.56x = 66,508,515.16
  5. Step 5: Solve for x
    x = 66,508,515.16/8,932.56
  6. Step 6: Final answer
    x = 7,445.63

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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.