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Finding the Fourth Proportional to 6,546.72, 9,822.96 and 3,468

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Solution

The fourth proportional to 6,546.72, 9,822.96 and 3,468 is: 5,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.72 : 9,822.96 = 3,468 : x
  2. Step 2: Convert to fraction form
    6,546.72/9,822.96 = 3,468/x
  3. Step 3: Cross multiply
    6,546.72x = 9,822.96 × 3,468
  4. Step 4: Simplify right side
    6,546.72x = 34,066,025.28
  5. Step 5: Solve for x
    x = 34,066,025.28/6,546.72
  6. Step 6: Final answer
    x = 5,203.53

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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.