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Finding the Fourth Proportional to 8,933.46, 12,327.92 and 5,157.24

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Solution

The fourth proportional to 8,933.46, 12,327.92 and 5,157.24 is: 7,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.46 : 12,327.92 = 5,157.24 : x
  2. Step 2: Convert to fraction form
    8,933.46/12,327.92 = 5,157.24/x
  3. Step 3: Cross multiply
    8,933.46x = 12,327.92 × 5,157.24
  4. Step 4: Simplify right side
    8,933.46x = 63,578,042.14
  5. Step 5: Solve for x
    x = 63,578,042.14/8,933.46
  6. Step 6: Final answer
    x = 7,116.84

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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.