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Finding the Fourth Proportional to 6,299.57, 9,449.53 and 1,917

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Solution

The fourth proportional to 6,299.57, 9,449.53 and 1,917 is: 2,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.57 : 9,449.53 = 1,917 : x
  2. Step 2: Convert to fraction form
    6,299.57/9,449.53 = 1,917/x
  3. Step 3: Cross multiply
    6,299.57x = 9,449.53 × 1,917
  4. Step 4: Simplify right side
    6,299.57x = 18,114,744.22
  5. Step 5: Solve for x
    x = 18,114,744.22/6,299.57
  6. Step 6: Final answer
    x = 2,875.55

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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.