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Finding the Fourth Proportional to 9,396.32, 12,967.36 and 5,204.56

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Solution

The fourth proportional to 9,396.32, 12,967.36 and 5,204.56 is: 7,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.32 : 12,967.36 = 5,204.56 : x
  2. Step 2: Convert to fraction form
    9,396.32/12,967.36 = 5,204.56/x
  3. Step 3: Cross multiply
    9,396.32x = 12,967.36 × 5,204.56
  4. Step 4: Simplify right side
    9,396.32x = 67,489,403.16
  5. Step 5: Solve for x
    x = 67,489,403.16/9,396.32
  6. Step 6: Final answer
    x = 7,182.54

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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.