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Finding the Fourth Proportional to 6,278.38, 9,411.01 and 2,116.95

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Solution

The fourth proportional to 6,278.38, 9,411.01 and 2,116.95 is: 3,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.38 : 9,411.01 = 2,116.95 : x
  2. Step 2: Convert to fraction form
    6,278.38/9,411.01 = 2,116.95/x
  3. Step 3: Cross multiply
    6,278.38x = 9,411.01 × 2,116.95
  4. Step 4: Simplify right side
    6,278.38x = 19,922,649.97
  5. Step 5: Solve for x
    x = 19,922,649.97/6,278.38
  6. Step 6: Final answer
    x = 3,173.21

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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.