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Finding the Fourth Proportional to 9,239.88, 13,840.20 and 8,578.92

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Solution

The fourth proportional to 9,239.88, 13,840.20 and 8,578.92 is: 12,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.88 : 13,840.20 = 8,578.92 : x
  2. Step 2: Convert to fraction form
    9,239.88/13,840.20 = 8,578.92/x
  3. Step 3: Cross multiply
    9,239.88x = 13,840.20 × 8,578.92
  4. Step 4: Simplify right side
    9,239.88x = 118,733,968.58
  5. Step 5: Solve for x
    x = 118,733,968.58/9,239.88
  6. Step 6: Final answer
    x = 12,850.16

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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.