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Finding the Fourth Proportional to 6,165.08, 9,243.84 and 2,878.88

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Solution

The fourth proportional to 6,165.08, 9,243.84 and 2,878.88 is: 4,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.08 : 9,243.84 = 2,878.88 : x
  2. Step 2: Convert to fraction form
    6,165.08/9,243.84 = 2,878.88/x
  3. Step 3: Cross multiply
    6,165.08x = 9,243.84 × 2,878.88
  4. Step 4: Simplify right side
    6,165.08x = 26,611,906.10
  5. Step 5: Solve for x
    x = 26,611,906.10/6,165.08
  6. Step 6: Final answer
    x = 4,316.55

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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.