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Finding the Fourth Proportional to 9,796.46, 13,520.12 and 5,764.86

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Solution

The fourth proportional to 9,796.46, 13,520.12 and 5,764.86 is: 7,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.46 : 13,520.12 = 5,764.86 : x
  2. Step 2: Convert to fraction form
    9,796.46/13,520.12 = 5,764.86/x
  3. Step 3: Cross multiply
    9,796.46x = 13,520.12 × 5,764.86
  4. Step 4: Simplify right side
    9,796.46x = 77,941,570.16
  5. Step 5: Solve for x
    x = 77,941,570.16/9,796.46
  6. Step 6: Final answer
    x = 7,956.09

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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.