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Finding the Fourth Proportional to 6,447.29, 8,894.59 and 3,928.48

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Solution

The fourth proportional to 6,447.29, 8,894.59 and 3,928.48 is: 5,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.29 : 8,894.59 = 3,928.48 : x
  2. Step 2: Convert to fraction form
    6,447.29/8,894.59 = 3,928.48/x
  3. Step 3: Cross multiply
    6,447.29x = 8,894.59 × 3,928.48
  4. Step 4: Simplify right side
    6,447.29x = 34,942,174.45
  5. Step 5: Solve for x
    x = 34,942,174.45/6,447.29
  6. Step 6: Final answer
    x = 5,419.67

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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.