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Finding the Fourth Proportional to 9,893.75, 14,841.83 and 3,230.08

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Solution

The fourth proportional to 9,893.75, 14,841.83 and 3,230.08 is: 4,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.75 : 14,841.83 = 3,230.08 : x
  2. Step 2: Convert to fraction form
    9,893.75/14,841.83 = 3,230.08/x
  3. Step 3: Cross multiply
    9,893.75x = 14,841.83 × 3,230.08
  4. Step 4: Simplify right side
    9,893.75x = 47,940,269.22
  5. Step 5: Solve for x
    x = 47,940,269.22/9,893.75
  6. Step 6: Final answer
    x = 4,845.51

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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.