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Finding the Fourth Proportional to 6,213.94, 9,308.28 and 3,084.58

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Solution

The fourth proportional to 6,213.94, 9,308.28 and 3,084.58 is: 4,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.94 : 9,308.28 = 3,084.58 : x
  2. Step 2: Convert to fraction form
    6,213.94/9,308.28 = 3,084.58/x
  3. Step 3: Cross multiply
    6,213.94x = 9,308.28 × 3,084.58
  4. Step 4: Simplify right side
    6,213.94x = 28,712,134.32
  5. Step 5: Solve for x
    x = 28,712,134.32/6,213.94
  6. Step 6: Final answer
    x = 4,620.60

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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.