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Finding the Fourth Proportional to 6,299.78, 9,449.70 and 1,917.50

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Solution

The fourth proportional to 6,299.78, 9,449.70 and 1,917.50 is: 2,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.78 : 9,449.70 = 1,917.50 : x
  2. Step 2: Convert to fraction form
    6,299.78/9,449.70 = 1,917.50/x
  3. Step 3: Cross multiply
    6,299.78x = 9,449.70 × 1,917.50
  4. Step 4: Simplify right side
    6,299.78x = 18,119,799.75
  5. Step 5: Solve for x
    x = 18,119,799.75/6,299.78
  6. Step 6: Final answer
    x = 2,876.26

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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.