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Finding the Fourth Proportional to 6,546.96, 9,035.28 and 3,894.48

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Solution

The fourth proportional to 6,546.96, 9,035.28 and 3,894.48 is: 5,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.96 : 9,035.28 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    6,546.96/9,035.28 = 3,894.48/x
  3. Step 3: Cross multiply
    6,546.96x = 9,035.28 × 3,894.48
  4. Step 4: Simplify right side
    6,546.96x = 35,187,717.25
  5. Step 5: Solve for x
    x = 35,187,717.25/6,546.96
  6. Step 6: Final answer
    x = 5,374.67

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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.