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Finding the Fourth Proportional to 6,276.69, 9,414.12 and 2,381.10

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Solution

The fourth proportional to 6,276.69, 9,414.12 and 2,381.10 is: 3,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.69 : 9,414.12 = 2,381.10 : x
  2. Step 2: Convert to fraction form
    6,276.69/9,414.12 = 2,381.10/x
  3. Step 3: Cross multiply
    6,276.69x = 9,414.12 × 2,381.10
  4. Step 4: Simplify right side
    6,276.69x = 22,415,934.76
  5. Step 5: Solve for x
    x = 22,415,934.76/6,276.69
  6. Step 6: Final answer
    x = 3,571.30

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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.