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Finding the Fourth Proportional to 9,663.39, 14,473.08 and 5,759.73

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Solution

The fourth proportional to 9,663.39, 14,473.08 and 5,759.73 is: 8,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.39 : 14,473.08 = 5,759.73 : x
  2. Step 2: Convert to fraction form
    9,663.39/14,473.08 = 5,759.73/x
  3. Step 3: Cross multiply
    9,663.39x = 14,473.08 × 5,759.73
  4. Step 4: Simplify right side
    9,663.39x = 83,361,004.27
  5. Step 5: Solve for x
    x = 83,361,004.27/9,663.39
  6. Step 6: Final answer
    x = 8,626.48

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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.