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Finding the Fourth Proportional to 9,940.37, 14,911.16 and 4,095

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Solution

The fourth proportional to 9,940.37, 14,911.16 and 4,095 is: 6,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.37 : 14,911.16 = 4,095 : x
  2. Step 2: Convert to fraction form
    9,940.37/14,911.16 = 4,095/x
  3. Step 3: Cross multiply
    9,940.37x = 14,911.16 × 4,095
  4. Step 4: Simplify right side
    9,940.37x = 61,061,179.73
  5. Step 5: Solve for x
    x = 61,061,179.73/9,940.37
  6. Step 6: Final answer
    x = 6,142.75

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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.