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Finding the Fourth Proportional to 6,508.38, 9,754.74 and 3,383.94

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Solution

The fourth proportional to 6,508.38, 9,754.74 and 3,383.94 is: 5,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.38 : 9,754.74 = 3,383.94 : x
  2. Step 2: Convert to fraction form
    6,508.38/9,754.74 = 3,383.94/x
  3. Step 3: Cross multiply
    6,508.38x = 9,754.74 × 3,383.94
  4. Step 4: Simplify right side
    6,508.38x = 33,009,454.88
  5. Step 5: Solve for x
    x = 33,009,454.88/6,508.38
  6. Step 6: Final answer
    x = 5,071.84

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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.