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Finding the Fourth Proportional to 9,349.75, 14,026.86 and 3,193.75

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Solution

The fourth proportional to 9,349.75, 14,026.86 and 3,193.75 is: 4,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.75 : 14,026.86 = 3,193.75 : x
  2. Step 2: Convert to fraction form
    9,349.75/14,026.86 = 3,193.75/x
  3. Step 3: Cross multiply
    9,349.75x = 14,026.86 × 3,193.75
  4. Step 4: Simplify right side
    9,349.75x = 44,798,284.13
  5. Step 5: Solve for x
    x = 44,798,284.13/9,349.75
  6. Step 6: Final answer
    x = 4,791.39

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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.