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Finding the Fourth Proportional to 6,368.83, 9,546.36 and 3,077.39

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Solution

The fourth proportional to 6,368.83, 9,546.36 and 3,077.39 is: 4,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.83 : 9,546.36 = 3,077.39 : x
  2. Step 2: Convert to fraction form
    6,368.83/9,546.36 = 3,077.39/x
  3. Step 3: Cross multiply
    6,368.83x = 9,546.36 × 3,077.39
  4. Step 4: Simplify right side
    6,368.83x = 29,377,885.13
  5. Step 5: Solve for x
    x = 29,377,885.13/6,368.83
  6. Step 6: Final answer
    x = 4,612.76

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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.