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Finding the Fourth Proportional to 6,546.60, 9,034.28 and 3,675.34

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Solution

The fourth proportional to 6,546.60, 9,034.28 and 3,675.34 is: 5,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,034.28 = 3,675.34 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,034.28 = 3,675.34/x
  3. Step 3: Cross multiply
    6,546.60x = 9,034.28 × 3,675.34
  4. Step 4: Simplify right side
    6,546.60x = 33,204,050.66
  5. Step 5: Solve for x
    x = 33,204,050.66/6,546.60
  6. Step 6: Final answer
    x = 5,071.95

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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.