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Finding the Fourth Proportional to 6,076.98, 9,109.62 and 3,115.44

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Solution

The fourth proportional to 6,076.98, 9,109.62 and 3,115.44 is: 4,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.98 : 9,109.62 = 3,115.44 : x
  2. Step 2: Convert to fraction form
    6,076.98/9,109.62 = 3,115.44/x
  3. Step 3: Cross multiply
    6,076.98x = 9,109.62 × 3,115.44
  4. Step 4: Simplify right side
    6,076.98x = 28,380,474.53
  5. Step 5: Solve for x
    x = 28,380,474.53/6,076.98
  6. Step 6: Final answer
    x = 4,670.16

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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.