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Finding the Fourth Proportional to 6,546.83, 9,034.16 and 3,893.75

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Solution

The fourth proportional to 6,546.83, 9,034.16 and 3,893.75 is: 5,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.83 : 9,034.16 = 3,893.75 : x
  2. Step 2: Convert to fraction form
    6,546.83/9,034.16 = 3,893.75/x
  3. Step 3: Cross multiply
    6,546.83x = 9,034.16 × 3,893.75
  4. Step 4: Simplify right side
    6,546.83x = 35,176,695.86
  5. Step 5: Solve for x
    x = 35,176,695.86/6,546.83
  6. Step 6: Final answer
    x = 5,373.09

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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.