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Finding the Fourth Proportional to 9,635.64, 13,306.86 and 8,301.84

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Solution

The fourth proportional to 9,635.64, 13,306.86 and 8,301.84 is: 11,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.64 : 13,306.86 = 8,301.84 : x
  2. Step 2: Convert to fraction form
    9,635.64/13,306.86 = 8,301.84/x
  3. Step 3: Cross multiply
    9,635.64x = 13,306.86 × 8,301.84
  4. Step 4: Simplify right side
    9,635.64x = 110,471,422.62
  5. Step 5: Solve for x
    x = 110,471,422.62/9,635.64
  6. Step 6: Final answer
    x = 11,464.88

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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.