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Finding the Fourth Proportional to 9,467.61, 14,200.89 and 2,893.26

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Solution

The fourth proportional to 9,467.61, 14,200.89 and 2,893.26 is: 4,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.61 : 14,200.89 = 2,893.26 : x
  2. Step 2: Convert to fraction form
    9,467.61/14,200.89 = 2,893.26/x
  3. Step 3: Cross multiply
    9,467.61x = 14,200.89 × 2,893.26
  4. Step 4: Simplify right side
    9,467.61x = 41,086,867.00
  5. Step 5: Solve for x
    x = 41,086,867.00/9,467.61
  6. Step 6: Final answer
    x = 4,339.73

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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.