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Finding the Fourth Proportional to 6,377, 9,565.86 and 2,273

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Solution

The fourth proportional to 6,377, 9,565.86 and 2,273 is: 3,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377 : 9,565.86 = 2,273 : x
  2. Step 2: Convert to fraction form
    6,377/9,565.86 = 2,273/x
  3. Step 3: Cross multiply
    6,377x = 9,565.86 × 2,273
  4. Step 4: Simplify right side
    6,377x = 21,743,199.78
  5. Step 5: Solve for x
    x = 21,743,199.78/6,377
  6. Step 6: Final answer
    x = 3,409.63

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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.