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Finding the Fourth Proportional to 9,630.39, 13,282.63 and 8,288.24

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Solution

The fourth proportional to 9,630.39, 13,282.63 and 8,288.24 is: 11,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.39 : 13,282.63 = 8,288.24 : x
  2. Step 2: Convert to fraction form
    9,630.39/13,282.63 = 8,288.24/x
  3. Step 3: Cross multiply
    9,630.39x = 13,282.63 × 8,288.24
  4. Step 4: Simplify right side
    9,630.39x = 110,089,538.14
  5. Step 5: Solve for x
    x = 110,089,538.14/9,630.39
  6. Step 6: Final answer
    x = 11,431.47

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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.