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Finding the Fourth Proportional to 6,165.14, 9,250.75 and 2,877.75

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Solution

The fourth proportional to 6,165.14, 9,250.75 and 2,877.75 is: 4,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.14 : 9,250.75 = 2,877.75 : x
  2. Step 2: Convert to fraction form
    6,165.14/9,250.75 = 2,877.75/x
  3. Step 3: Cross multiply
    6,165.14x = 9,250.75 × 2,877.75
  4. Step 4: Simplify right side
    6,165.14x = 26,621,367.91
  5. Step 5: Solve for x
    x = 26,621,367.91/6,165.14
  6. Step 6: Final answer
    x = 4,318.05

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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.