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Finding the Fourth Proportional to 9,544.95, 14,323.00 and 3,997.82

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Solution

The fourth proportional to 9,544.95, 14,323.00 and 3,997.82 is: 5,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.95 : 14,323.00 = 3,997.82 : x
  2. Step 2: Convert to fraction form
    9,544.95/14,323.00 = 3,997.82/x
  3. Step 3: Cross multiply
    9,544.95x = 14,323.00 × 3,997.82
  4. Step 4: Simplify right side
    9,544.95x = 57,260,801.67
  5. Step 5: Solve for x
    x = 57,260,801.67/9,544.95
  6. Step 6: Final answer
    x = 5,999.07

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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.