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Finding the Fourth Proportional to 9,796.32, 13,522.68 and 6,262.56

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Solution

The fourth proportional to 9,796.32, 13,522.68 and 6,262.56 is: 8,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.32 : 13,522.68 = 6,262.56 : x
  2. Step 2: Convert to fraction form
    9,796.32/13,522.68 = 6,262.56/x
  3. Step 3: Cross multiply
    9,796.32x = 13,522.68 × 6,262.56
  4. Step 4: Simplify right side
    9,796.32x = 84,686,594.86
  5. Step 5: Solve for x
    x = 84,686,594.86/9,796.32
  6. Step 6: Final answer
    x = 8,644.74

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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.