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Finding the Fourth Proportional to 9,893.93, 14,846.36 and 5,513.85

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Solution

The fourth proportional to 9,893.93, 14,846.36 and 5,513.85 is: 8,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.93 : 14,846.36 = 5,513.85 : x
  2. Step 2: Convert to fraction form
    9,893.93/14,846.36 = 5,513.85/x
  3. Step 3: Cross multiply
    9,893.93x = 14,846.36 × 5,513.85
  4. Step 4: Simplify right side
    9,893.93x = 81,860,639.20
  5. Step 5: Solve for x
    x = 81,860,639.20/9,893.93
  6. Step 6: Final answer
    x = 8,273.83

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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.