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Finding the Fourth Proportional to 9,232.33, 13,847.10 and 2,991.53

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Solution

The fourth proportional to 9,232.33, 13,847.10 and 2,991.53 is: 4,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.33 : 13,847.10 = 2,991.53 : x
  2. Step 2: Convert to fraction form
    9,232.33/13,847.10 = 2,991.53/x
  3. Step 3: Cross multiply
    9,232.33x = 13,847.10 × 2,991.53
  4. Step 4: Simplify right side
    9,232.33x = 41,424,000.11
  5. Step 5: Solve for x
    x = 41,424,000.11/9,232.33
  6. Step 6: Final answer
    x = 4,486.84

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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.