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Finding the Fourth Proportional to 9,679.64, 14,518.09 and 3,104.97

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Solution

The fourth proportional to 9,679.64, 14,518.09 and 3,104.97 is: 4,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.64 : 14,518.09 = 3,104.97 : x
  2. Step 2: Convert to fraction form
    9,679.64/14,518.09 = 3,104.97/x
  3. Step 3: Cross multiply
    9,679.64x = 14,518.09 × 3,104.97
  4. Step 4: Simplify right side
    9,679.64x = 45,078,233.91
  5. Step 5: Solve for x
    x = 45,078,233.91/9,679.64
  6. Step 6: Final answer
    x = 4,657.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.