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Finding the Fourth Proportional to 6,273.72, 9,409.14 and 2,377.62

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Solution

The fourth proportional to 6,273.72, 9,409.14 and 2,377.62 is: 3,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.72 : 9,409.14 = 2,377.62 : x
  2. Step 2: Convert to fraction form
    6,273.72/9,409.14 = 2,377.62/x
  3. Step 3: Cross multiply
    6,273.72x = 9,409.14 × 2,377.62
  4. Step 4: Simplify right side
    6,273.72x = 22,371,359.45
  5. Step 5: Solve for x
    x = 22,371,359.45/6,273.72
  6. Step 6: Final answer
    x = 3,565.88

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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.