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Finding the Fourth Proportional to 9,232.81, 12,738.11 and 5,199.01

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Solution

The fourth proportional to 9,232.81, 12,738.11 and 5,199.01 is: 7,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.81 : 12,738.11 = 5,199.01 : x
  2. Step 2: Convert to fraction form
    9,232.81/12,738.11 = 5,199.01/x
  3. Step 3: Cross multiply
    9,232.81x = 12,738.11 × 5,199.01
  4. Step 4: Simplify right side
    9,232.81x = 66,225,503.43
  5. Step 5: Solve for x
    x = 66,225,503.43/9,232.81
  6. Step 6: Final answer
    x = 7,172.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.