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Finding the Fourth Proportional to 6,276.91, 9,416.81 and 1,894.41

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Solution

The fourth proportional to 6,276.91, 9,416.81 and 1,894.41 is: 2,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.91 : 9,416.81 = 1,894.41 : x
  2. Step 2: Convert to fraction form
    6,276.91/9,416.81 = 1,894.41/x
  3. Step 3: Cross multiply
    6,276.91x = 9,416.81 × 1,894.41
  4. Step 4: Simplify right side
    6,276.91x = 17,839,299.03
  5. Step 5: Solve for x
    x = 17,839,299.03/6,276.91
  6. Step 6: Final answer
    x = 2,842.05

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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.