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Finding the Fourth Proportional to 9,247.45, 13,875.74 and 5,736.56

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Solution

The fourth proportional to 9,247.45, 13,875.74 and 5,736.56 is: 8,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.45 : 13,875.74 = 5,736.56 : x
  2. Step 2: Convert to fraction form
    9,247.45/13,875.74 = 5,736.56/x
  3. Step 3: Cross multiply
    9,247.45x = 13,875.74 × 5,736.56
  4. Step 4: Simplify right side
    9,247.45x = 79,599,015.05
  5. Step 5: Solve for x
    x = 79,599,015.05/9,247.45
  6. Step 6: Final answer
    x = 8,607.67

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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.